Academic literature on the topic 'Mixed variational'

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Journal articles on the topic "Mixed variational"

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Noor, Muhammad Aslam. "Mixed variational inequalities." Applied Mathematics Letters 3, no. 2 (1990): 73–75. http://dx.doi.org/10.1016/0893-9659(90)90018-7.

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Noor, Muhammad Aslam. "Mixed quasi variational inequalities." Applied Mathematics and Computation 146, no. 2-3 (December 2003): 553–78. http://dx.doi.org/10.1016/s0096-3003(02)00605-7.

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Noor, M. A. "Monotone mixed variational inequalities." Applied Mathematics Letters 14, no. 2 (February 2001): 231–36. http://dx.doi.org/10.1016/s0893-9659(00)00141-5.

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Iram Bloach, Misbah, and Muhammad Aslam Noor. "Perturbed mixed variational-like inequalities." AIMS Mathematics 5, no. 3 (2020): 2153–62. http://dx.doi.org/10.3934/math.2020143.

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Noor, Muhammad Aslam. "Pseudomonotone general mixed variational inequalities." Applied Mathematics and Computation 141, no. 2-3 (September 2003): 529–40. http://dx.doi.org/10.1016/s0096-3003(02)00273-4.

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Noor, M. A. "Generalized monotone mixed variational inequalities." Mathematical and Computer Modelling 29, no. 3 (February 1999): 87–93. http://dx.doi.org/10.1016/s0895-7177(99)00032-1.

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Ivinskis, K?stutis. "A variational mixed Torelli theorem." Duke Mathematical Journal 74, no. 1 (April 1994): 237–51. http://dx.doi.org/10.1215/s0012-7094-94-07412-7.

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Park, Jong Yeoul, and Jae Ug Jeong. "Parametric generalized mixed variational inequalities." Applied Mathematics Letters 17, no. 1 (January 2004): 43–48. http://dx.doi.org/10.1016/s0893-9659(04)90009-2.

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Noor, Muhammad Aslam, Khalida Inayat Noor, Saira Zainab, and Eisa Al-Said. "Regularized Mixed Variational-Like Inequalities." Journal of Applied Mathematics 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/863450.

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We use auxiliary principle technique coupled with iterative regularization method to suggest and analyze some new iterative methods for solving mixed variational-like inequalities. The convergence analysis of these new iterative schemes is considered under some suitable conditions. Some special cases are also discussed. Our method of proofs is very simple as compared with other methods. Our results represent a significant refinement of the previously known results.
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Noor, Muhammad Aslam. "Mixed quasi regularized variational inequalities." Mathematical Inequalities & Applications, no. 4 (2006): 761–69. http://dx.doi.org/10.7153/mia-09-67.

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Dissertations / Theses on the topic "Mixed variational"

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Esposito, Pier Antonio. "Reissner Mixed Variational Theorem for Ritz Sublaminate Generalized Unified Formulation." Thesis, KTH, Lättkonstruktioner, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-302787.

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This thesis is about the development of a new numerical method for the analysis of composite shells. The present work is based on Reissner Mixed Variational Theorem (RMVT), the Sublaminate Generalized Unified Formulation (S-GUF), and the Ritz approximation. The present work investigates a more efficient way to compute transverse stresses (sigma_xz, sigma_yz, sigma_zz) based upon RMVT, allowing assigning their order of continuity a priori. This is a great advantage compared to a conventional displacement-based approach. In order to enable computing of both global and local responses (depending on the user’sneeds) the S-GUF framework was adopted. The Generalized Unified Formulation (GUF) enables the implementation of approximations with virtually unlimited algebraic order within a single code, and the order could also vary for different variables. In addition to the GUF, the concept of Sublaminate was utilized, allowing for sub-sectioning of the domain in the thickness direction into sublaminates, and it is then possible to apply different formulations in each of these sub-domains. The curvature of the shells is strictly defined by their radius-to- thickness ratio. The flexibility of S-GUF is helpful in the sense that curvature is only introduced and treated if needed by the particular case at hand. The governing equations obtained applying S-GUF to RMVT were solved in a weak formulation using the Ritz approximation. This choice was made to save computational time, which is one of the main benefits of the presented method. Validation of the code was made by comparing results from the present formulation with solutions available in the literature. Good to excellent agreement was found for several benchmark cases, supporting that the formulation is valid and provides reliable solutions.Finally, numerical and analytical considerations about the developed method were made: its numerical stability, how to tune its parameters, and which models result more correct from an analytical standpoint.
Denna avhandling handlar om utvecklingen av en ny numerisk metod för analys av kompositskal.Det aktuella arbetet är baserat på Reissner Mixed Variational Theorem (RMVT), Sublaminate Generalized Unified Formulation (S-GUF) och Ritz-approximationen.Arbetet går ut på att ta fram ett mer effektivt sätt att beräkna spänningar ut ur planet (sigma_xz, sigma_yz, aigma_zz) och utnyttjar RMVT, vilket möjliggör lokal hantering av kontinuitet i varierande ordning, definierad a priori. Detta innebär en stor fördel jämfört med en konventionell förskjutningsbaserad metod. För att möjliggöra beräkning av både global och lokal lösning, beroende påanvändarens behov, antogs S-GUF-ramverket. Den generaliserade enhetliga formuleringen (GUF) gördet möjligt att inom samma formulering implementera approximationer med i princip obegränsad algebraisk ordning, vilka dåocksåkan skilja mellan olika variabler. Förutom GUF används även konceptet Sublaminate som gör det möjligt att dela upp domänen i tjockleksriktningen i underregioner (sublaminate), och det är dåmöjligt att tillämpa olika formuleringar i var och en av dessa subdomäner. Krökningen hos ett skal definiers strikt av förhållandet mellan dess radie och tjocklek. Flexibiliteten hos S-GUF är fördelaktig dåkrökning endast hanteras för de specifika fall där det förekommer. De ekvationer som erhålls genom att applicera S-GUF på RMVT löses påsvag formmed användning av Ritz approximation. Detta val gjordes för att möjliggöra en snabbare beräkningstid, vilket är en av fördelarna med denna metod. Genom att jämföra de resultat med lösningar tillgängliga i litteraturen var det möjligt att validera resultaten och därmed även själva formuleringen. God till utmärkt överensstämmelse påvisades för ett antal olika standardfall vilket styrker att metoden fungerar och attdess lösningar är pålitliga. Slutligen ritades numeriska och analytiska överväganden om metoden här utvecklad, såsom dess numeriska stabilitet, hur man ställer in dess parametrar och vilka modeller somär mer korrekta ur en analytisk synvinkel.
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Le, Roux Christiaan. "Mixed variational problems associated with stationary viscous incompressible free boundary flows." Master's thesis, University of Cape Town, 1991. http://hdl.handle.net/11427/15965.

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Bibliography: pages 93-97.
A strategy that is often used in the study of capillary free boundary (FB) problems for viscous incompressible flows is the following: (1) Ignore one of the boundary conditions at the FB and prove that for every chosen position of the FB the resultant problem, here called the auxiliary problem (AP), is well posed. (2) Establish regularity results for the solution of the AP. (3) Using (2) and the remaining boundary condition, determine the position of the FB. We study the existence and uniqueness of the weak solution(s) to the AP, i.e., step (1), under minimal regularity constraints on the data and domain. The analysis is carried out for stationary two-dimensional flows, governed by either the Stokes or Navier-Stokes equations, in the context of four standard examples. A Green's formula is derived which allows the AP to be formulated as a mixed variational problem in which the pressure and normal stress appear as Lagrange multipliers. Existence and uniqueness results are obtained by using the Ladyzhenskaya-Babuska-Brezzi theory for mixed problems. By analogy with step (3), the dependence of the normal stress on the position of the FB is investigated.
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Richardson, Kyle Dennis. "Blending and Mixed Variational Principles to Overcome Locking Phenomena in Isogeometric Beams." BYU ScholarsArchive, 2017. https://scholarsarchive.byu.edu/etd/6495.

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Two methods for overcoming locking phenomena in isogeometric beams are presented. The first method blends the rotation of a Timoshenko beam with the rotation of a Bernoulli beam to produce realistic displacements in straight beams. The second method uses mixed variational principles, specifically the Hu-Washizu Principle, to produce realistic displacements as well as realistic strains without post-processing.
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Zhang, Fan. "Statistical Methods for Characterizing Genomic Heterogeneity in Mixed Samples." Digital WPI, 2016. https://digitalcommons.wpi.edu/etd-dissertations/419.

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"Recently, sequencing technologies have generated massive and heterogeneous data sets. However, interpretation of these data sets is a major barrier to understand genomic heterogeneity in complex diseases. In this dissertation, we develop a Bayesian statistical method for single nucleotide level analysis and a global optimization method for gene expression level analysis to characterize genomic heterogeneity in mixed samples. The detection of rare single nucleotide variants (SNVs) is important for understanding genetic heterogeneity using next-generation sequencing (NGS) data. Various computational algorithms have been proposed to detect variants at the single nucleotide level in mixed samples. Yet, the noise inherent in the biological processes involved in NGS technology necessitates the development of statistically accurate methods to identify true rare variants. At the single nucleotide level, we propose a Bayesian probabilistic model and a variational expectation maximization (EM) algorithm to estimate non-reference allele frequency (NRAF) and identify SNVs in heterogeneous cell populations. We demonstrate that our variational EM algorithm has comparable sensitivity and specificity compared with a Markov Chain Monte Carlo (MCMC) sampling inference algorithm, and is more computationally efficient on tests of relatively low coverage (27x and 298x) data. Furthermore, we show that our model with a variational EM inference algorithm has higher specificity than many state-of-the-art algorithms. In an analysis of a directed evolution longitudinal yeast data set, we are able to identify a time-series trend in non-reference allele frequency and detect novel variants that have not yet been reported. Our model also detects the emergence of a beneficial variant earlier than was previously shown, and a pair of concomitant variants. Characterization of heterogeneity in gene expression data is a critical challenge for personalized treatment and drug resistance due to intra-tumor heterogeneity. Mixed membership factorization has become popular for analyzing data sets that have within-sample heterogeneity. In recent years, several algorithms have been developed for mixed membership matrix factorization, but they only guarantee estimates from a local optimum. At the gene expression level, we derive a global optimization (GOP) algorithm that provides a guaranteed epsilon-global optimum for a sparse mixed membership matrix factorization problem for molecular subtype classification. We test the algorithm on simulated data and find the algorithm always bounds the global optimum across random initializations and explores multiple modes efficiently. The GOP algorithm is well-suited for parallel computations in the key optimization steps. "
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Vasudevan, S. "Development of new spatially curved non-linear frame finite element using a mixed variational principle and rotations as independent variables." Diss., Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/13069.

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Köhler, Karoline Sophie. "On efficient a posteriori error analysis for variational inequalities." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17635.

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Effiziente und zuverlässige a posteriori Fehlerabschätzungen sind eine Hauptzutat für die effiziente numerische Berechnung von Lösungen zu Variationsungleichungen durch die Finite-Elemente-Methode. Die vorliegende Arbeit untersucht zuverlässige und effiziente Fehlerabschätzungen für beliebige Finite-Elemente-Methoden und drei Variationsungleichungen, nämlich dem Hindernisproblem, dem Signorini Problem und dem Bingham Problem in zwei Raumdimensionen. Die Fehlerabschätzungen hängen vom zum Problem gehörenden Lagrange Multiplikator ab, der eine Verbindung zwischen der Variationsungleichung und dem zugehörigen linearen Problem darstellt. Effizienz und Zuverlässigkeit werden bezüglich eines totalen Fehlers gezeigt. Die Fehleranschätzungen fordern minimale Regularität. Die Approximation der exakten Lösung erfüllt die Dirichlet Randbedingungen und die Approximation des Lagrange Multiplikators ist nicht-positiv im Falle des Hindernis- und Signoriniproblems, und hat Betrag kleiner gleich 1 für das Bingham Problem. Dieses allgemeine Vorgehen ermöglicht das Einbinden nicht-exakter diskreter Lösungen, welche im Kontext dieser Ungleichungen auftreten. Aus dem Blickwinkel der Anwendungen ist Effizienz und Zuverlässigkeit im Bezug auf den Fehler der primalen Variablen in der Energienorm von großem Interesse. Solche Abschätzungen hängen von der Wahl eines effizienten diskreten Lagrange Multiplikators ab. Im Falle des Hindernis- und Signorini Problems werden postive Beispiele für drei Finite-Elemente Methoden, der konformen Courant Methode, der nicht-konformen Crouzeix-Raviart Methode und der gemischten Raviart-Thomas Methode niedrigster Ordnung hergeleitet. Partielle Resultate liegen im Fall des Bingham Problems vor. Numerischer Experimente heben die theoretischen Ergebnisse hervor und zeigen Effizienz und Zuverlässigkeit. Die numerischen Tests legen nahe, dass der aus den Abschätzungen resultierende adaptive Algorithmus mit optimaler Konvergenzrate konvergiert.
Efficient and reliable a posteriori error estimates are a key ingredient for the efficient numerical computation of solutions for variational inequalities by the finite element method. This thesis studies such reliable and efficient error estimates for arbitrary finite element methods and three representative variational inequalities, namely the obstacle problem, the Signorini problem, and the Bingham problem in two space dimensions. The error estimates rely on a problem connected Lagrange multiplier, which presents a connection between the variational inequality and the corresponding linear problem. Reliability and efficiency are shown with respect to some total error. Reliability and efficiency are shown under minimal regularity assumptions. The approximation to the exact solution satisfies the Dirichlet boundary conditions, and an approximation of the Lagrange multiplier is non-positive in the case of the obstacle and Signorini problem and has an absolute value smaller than 1 for the Bingham flow problem. These general assumptions allow for reliable and efficient a posteriori error analysis even in the presence of inexact solve, which naturally occurs in the context of variational inequalities. From the point of view of the applications, reliability and efficiency with respect to the error of the primal variable in the energy norm is of great interest. Such estimates depend on the efficient design of a discrete Lagrange multiplier. Affirmative examples of discrete Lagrange multipliers are presented for the obstacle and Signorini problem and three different first-order finite element methods, namely the conforming Courant, the non-conforming Crouzeix-Raviart, and the mixed Raviart-Thomas FEM. Partial results exist for the Bingham flow problem. Numerical experiments highlight the theoretical results, and show efficiency and reliability. The numerical tests suggest that the resulting adaptive algorithms converge with optimal convergence rates.
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Huo, Shuning. "Bayesian Modeling of Complex High-Dimensional Data." Diss., Virginia Tech, 2020. http://hdl.handle.net/10919/101037.

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With the rapid development of modern high-throughput technologies, scientists can now collect high-dimensional complex data in different forms, such as medical images, genomics measurements. However, acquisition of more data does not automatically lead to better knowledge discovery. One needs efficient and reliable analytical tools to extract useful information from complex datasets. The main objective of this dissertation is to develop innovative Bayesian methodologies to enable effective and efficient knowledge discovery from complex high-dimensional data. It contains two parts—the development of computationally efficient functional mixed models and the modeling of data heterogeneity via Dirichlet Diffusion Tree. The first part focuses on tackling the computational bottleneck in Bayesian functional mixed models. We propose a computational framework called variational functional mixed model (VFMM). This new method facilitates efficient data compression and high-performance computing in basis space. We also propose a new multiple testing procedure in basis space, which can be used to detect significant local regions. The effectiveness of the proposed model is demonstrated through two datasets, a mass spectrometry dataset in a cancer study and a neuroimaging dataset in an Alzheimer's disease study. The second part is about modeling data heterogeneity by using Dirichlet Diffusion Trees. We propose a Bayesian latent tree model that incorporates covariates of subjects to characterize the heterogeneity and uncover the latent tree structure underlying data. This innovative model may reveal the hierarchical evolution process through branch structures and estimate systematic differences between groups of samples. We demonstrate the effectiveness of the model through the simulation study and a brain tumor real data.
Doctor of Philosophy
With the rapid development of modern high-throughput technologies, scientists can now collect high-dimensional data in different forms, such as engineering signals, medical images, and genomics measurements. However, acquisition of such data does not automatically lead to efficient knowledge discovery. The main objective of this dissertation is to develop novel Bayesian methods to extract useful knowledge from complex high-dimensional data. It has two parts—the development of an ultra-fast functional mixed model and the modeling of data heterogeneity via Dirichlet Diffusion Trees. The first part focuses on developing approximate Bayesian methods in functional mixed models to estimate parameters and detect significant regions. Two datasets demonstrate the effectiveness of proposed method—a mass spectrometry dataset in a cancer study and a neuroimaging dataset in an Alzheimer's disease study. The second part focuses on modeling data heterogeneity via Dirichlet Diffusion Trees. The method helps uncover the underlying hierarchical tree structures and estimate systematic differences between the group of samples. We demonstrate the effectiveness of the method through the brain tumor imaging data.
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Schürg, Marco [Verfasser], Friedrich [Akademischer Betreuer] Gruttmann, Werner [Akademischer Betreuer] Wagner, and Jens [Akademischer Betreuer] Wackerfuß. "Theoretical modeling and parallel programming of a nonlinear composite finite shell element based on a mixed global-local variational principle / Marco Schürg. Betreuer: Friedrich Gruttmann ; Werner Wagner ; Jens Wackerfuß." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2012. http://d-nb.info/1106453999/34.

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Góis, Wesley. "Método dos elementos finitos generalizados em formulação variacional mista." Universidade de São Paulo, 2004. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-14072006-112127/.

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Este trabalho trata da combinação entre a formulação híbrida-mista de tensão (FHMT) (Freitas et al. (1996)), para a elasticidade plana, com o método dos elementos finitos generalizados (MEFG), Duarte et al. (2000). O MEFG se caracteriza como uma forma não-convencional do método dos elementos finitos (MEF) que resulta da incorporação a este de conceitos e técnicas dos métodos sem malha, como o enriquecimento nodal proposto do método das nuvens “hp”. Como na FHMT são aproximados dois campos no domínio (tensão e deslocamento) e um no contorno (deslocamento), diferentes possibilidades de enriquecimento nodal são exploradas. Para a discretização do modelo híbrido-misto empregam-se elementos finitos quadrilaterais com funções de forma bilineares para o domínio e elementos lineares para o contorno. Essas funções são enriquecidas por funções polinomiais, trigonométricas, polinômios que proporcionam distribuição de tensões auto-equilibradas ou mesmo funções especiais relacionadas às soluções dos problemas de fratura. Uma extensão do teste numérico abordado em Zienkiewicz et al. (1986) é proposta como investigação inicial das condições necessárias para garantia de estabilidade da resposta numérica. O estudo da estabilidade é completado com a análise da condição de Babuška-Brezzi (inf-sup). Esta condição é aplicada nos elementos finitos quadrilaterais híbridos-mistos enriquecidos por meio de um teste numérico, denominado de inf-sup teste, desenvolvido com base no trabalho de Chapelle e Bathe (1993). Exemplos numéricos revelam que a FHMT é uma interessante alternativa para obtenção de boas estimativas para os campos de tensões e deslocamentos, usando-se enriquecimento sobre alguns nós de malhas pouco refinadas
This work presents a combination of hybrid-mixed stress model formulation (HMSMF) (Freitas et al. (1996)), to treat plane elasticity problems, with generalized finite element method (GFEM), (Duarte et al. (2000)). GFEM is characterized as a nonconventional formulation of the finite element method (FEM). GFEM is the result of the incorporation of concepts and techniques from meshless methods. One example of these techniques is the nodal enrichment that was formulated in the “hp” clouds method. Since two fields in domain (stress and displacement) and one in boundary (displacement) are approximated in the HMSMF, different possibilities of nodal enrichment are tested. For the discretization of the hybrid-mixed model quadrilateral finite elements with bilinear shape functions for the domain and linear elements for the boundary were employed. These functions are enriched with polynomial functions, trigonometric functions, polynomials that generate self-equilibrated stress distribution, or, even special functions connected with solutions of fracture problems. An extension of the numerical test cited in Zienkiewicz et al. (1986) is proposed as initial investigation of necessary conditions to assure the stability of the numerical answer. The stability study is completed with the analysis of the Babuška-Brezzi (inf-sup) condition. This last condition is applied to hybrid-mixed enrichment quadrilaterals finite elements by means of a numerical test, denominated inf-sup test, which was developed based on paper of Chapelle and Bathe (1993). Numerical examples reveal that HMSMF is an interesting alternative to obtain good estimates of the stress and displacement fields, using enrichment over some nodes of poor meshes
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Almeida, Samuel Oliveira de. "Soluções para problemas elípticos envolvendo o expoente crítico de Sobolev." Universidade Federal de Juiz de Fora, 2013. https://repositorio.ufjf.br/jspui/handle/ufjf/1468.

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Neste trabalho estudamos a existência de soluções para problemas elípticos envolvendo o expoente crítico de Sobolev. Primeiramente, investigamos a existência de soluções para um problema superlinear do tipo Ambrosetti-Prodi com ressonância em 1, onde 1 é o primeiro autovalor de (−Δ,1 0 (Ω)). Além disso, estudamos resultados de multiplicidade para uma classe de equações elípticas críticas relacionadas com o problema de Brézis-Nirenberg, com condição de contorno de Neumann sobre a bola.
In this work we study the existence of solutions for elliptic problems involving critical Sobolev exponent. Firstly we investigate the existence of solutions for an Ambrosetti-Prodi type superlinear problem with resonance at 1 , where 1 is the first eigenvalue of (−Δ,1 0 (Ω)). Besides, we study multiplicity results for a class of critical elliptic equations related to the Brézis-Nirenberg problem with Neumann boundary condition on a ball.
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Books on the topic "Mixed variational"

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Middle Arabic and mixed Arabic: Diachrony and synchrony. Boston: Brill, 2012.

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service), SpringerLink (Online, ed. Variation Aware Analog and Mixed-Signal Circuit Design in Emerging Multi-Gate CMOS Technologies. Dordrecht: Springer Netherlands, 2010.

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Fulde, Michael. Variation Aware Analog and Mixed-Signal Circuit Design in Emerging Multi-Gate CMOS Technologies. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-3280-5.

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L'ère du métissage: Variations sur la créolisation : politique, éthique et philosophie de la diversalité. Paris: Anibwé éditions, 2013.

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Zemmel, Nicola Elise. Intermarriage, variations on a theme: Examining the reality of mixed and conversionary marriage in contemporary Anglo-Jewry. Birmingham: University of Birmingham, 1999.

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Mitchell, McGeary, ed. Every little thing: The definitive guide to Beatles recording variations, rare mixes & other musical oddities, 1958-1986. Ann Arbor, Mich., USA: Popular Culture, Ink., 1990.

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Canada. Dept. of Fisheries and Oceans. Variation in Biological Characters Among Sockeye Salmon Populations of the Stikine River with Potential Application For Stock Identification in Mixed-Stock Fisheries. S.l: s.n, 1987.

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Emergent lingua francas and world orders: The politics and place of English as a world language. New York, N.Y: Routledge, 2009.

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Trampus, Franc Igor. The effects of work force variation and conspecific preference in single and mixed-species colonies of Leptothorax longispinosus Roger and Leptothorax ambiguus Emergy (Hymenoptera: Formicidae: Leptothoracini). Ottawa: National Library of Canada, 1997.

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McWhorter, John H. Spreading the word: Language and dialect in America. Portsmouth, NH: Heinemann, 2000.

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Book chapters on the topic "Mixed variational"

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Allevi, E., A. Gnudi, I. V. Konnov, and E. O. Mazurkevich. "Partitionable Mixed Variational Inequalities." In Variational Analysis and Applications, 133–46. Boston, MA: Springer US, 2005. http://dx.doi.org/10.1007/0-387-24276-7_10.

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Sayas, Francisco-Javier, Thomas S. Brown, and Matthew E. Hassell. "Mixed problems." In Variational Techniques for Elliptic Partial Differential Equations, 209–52. Boca Raton, Florida : CRC Press, [2019]: CRC Press, 2019. http://dx.doi.org/10.1201/9780429507069-10.

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Gu, Chaohao. "Extremal Surfaces of Mixed Type in Minkowski Space R n+1." In Variational Methods, 283–96. Boston, MA: Birkhäuser Boston, 1990. http://dx.doi.org/10.1007/978-1-4757-1080-9_19.

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Sayas, Francisco-Javier, Thomas S. Brown, and Matthew E. Hassell. "Advanced mixed problems." In Variational Techniques for Elliptic Partial Differential Equations, 253–76. Boca Raton, Florida : CRC Press, [2019]: CRC Press, 2019. http://dx.doi.org/10.1201/9780429507069-11.

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Boffi, Daniele, Franco Brezzi, and Michel Fortin. "Variational Formulations and Finite Element Methods." In Mixed Finite Element Methods and Applications, 1–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36519-5_1.

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Cuomo, Massimo. "Mixed Variational Methods: Considerations on Numerical Applications." In Encyclopedia of Continuum Mechanics, 1657–73. Berlin, Heidelberg: Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-55771-6_181.

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Cuomo, Massimo. "Mixed Variational Methods: Considerations on Numerical Applications." In Encyclopedia of Continuum Mechanics, 1–18. Berlin, Heidelberg: Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-53605-6_181-1.

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Akian, J. L. "A Mixed Variational Formulation for Laminated Plates." In Lecture Notes in Engineering, 289–303. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83040-2_25.

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Eshaghi-Gordji, M., S. Kaboli-Gharetapeh, M. S. Moslehian, and S. Zolfaghari. "Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation." In Nonlinear Analysis and Variational Problems, 65–80. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0158-3_6.

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Cescotto, S. "Modelling of Frictional Contact from Mixed Variational Principles." In Contact Mechanics, 217–27. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-1983-6_28.

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Conference papers on the topic "Mixed variational"

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Gianniotis, Nikolaos. "Mixed Variational Inference." In 2019 International Joint Conference on Neural Networks (IJCNN). IEEE, 2019. http://dx.doi.org/10.1109/ijcnn.2019.8852348.

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Wang, Fengjiao, and Yali Zhao. "Split General Mixed Variational Inequality Problem." In 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016). Paris, France: Atlantis Press, 2016. http://dx.doi.org/10.2991/icence-16.2016.72.

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"Split Generalized Variational Inequality and Mixed Equilibrium Problem." In International Conference Education and Management. Scholar Publishing Group, 2021. http://dx.doi.org/10.38007/proceedings.0001868.

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Roy, A. "Three-dimensional mixed variational micromechanics model for textile composites." In 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1998. http://dx.doi.org/10.2514/6.1998-1860.

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Barbu, Tudor. "Novel variational technique for mixed Poisson-Gaussian noise filtering." In 2021 International Symposium on Signals, Circuits and Systems (ISSCS). IEEE, 2021. http://dx.doi.org/10.1109/isscs52333.2021.9497408.

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Darrall, Bradley T., and Gary F. Dargush. "Mixed Convolved Action Principles for Dynamics of Linear Poroelastic Continua." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52728.

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Although Lagrangian and Hamiltonian analytical mechanics represent perhaps the most remarkable expressions of the dynamics of a mechanical system, these approaches also come with limitations. In particular, there is inherent difficulty to represent dissipative processes and the restrictions placed on end point variations are not consistent with the definition of initial value problems. The present work on poroelastic media extends the recent formulation of a mixed convolved action to address a continuum dynamical problem with dissipation through the development of a new variational approach. The action in this proposed approach is formed by replacing the inner product in Hamilton’s principle with a time convolution. As a result, dissipative processes can be represented in a natural way and the required constraints on the variations are consistent with the actual initial and boundary conditions of the problem. The variational formulations developed here employ temporal impulses of velocity, effective stress, pore pressure and pore fluid mass flux as primary variables in this mixed approach, which also uses convolution operators and fractional calculus to achieve the desired characteristics. The resulting mixed convolved action is formulated in both the time and frequency domains to develop two new stationary principles for dynamic poroelasticity. In addition, the first variation of the action provides a temporally well-balanced weak form that leads to a new family of finite element methods in time, as well as space.
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Hong, Victor, Enrico Santarpia, and Luciano Demasi. "Reissner's Mixed Variational Theorem and Energy Reconstitution for Triangular Elements." In AIAA Scitech 2020 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2020. http://dx.doi.org/10.2514/6.2020-2291.

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Yang, Yaodong, Rui Luo, and Yuanyuan Liu. "Adversarial Variational Bayes Methods for Tweedie Compound Poisson Mixed Models." In ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2019. http://dx.doi.org/10.1109/icassp.2019.8682184.

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Barcelos, Celia A. Z., and Emilio Z. Barcelos. "A weighted variational method for the removal of mixed noise." In 2012 IEEE International Conference on Systems, Man and Cybernetics - SMC. IEEE, 2012. http://dx.doi.org/10.1109/icsmc.2012.6377773.

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Zhao, Yali, Qian Zhang, and Shuyi Zhang. "Perturbed Iterative Algorithms for Split General Mixed Variational Inequality Problem." In 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017). Paris, France: Atlantis Press, 2017. http://dx.doi.org/10.2991/amms-17.2017.9.

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Reports on the topic "Mixed variational"

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Safford, Hugh D., and Jens T. Stevens. Natural range of variation for yellow pine and mixed-conifer forests in the Sierra Nevada, southern Cascades, and Modoc and Inyo National Forests, California, USA. Albany, CA: U.S. Department of Agriculture, Forest Service, Pacific Southwest Research Station, 2017. http://dx.doi.org/10.2737/psw-gtr-256.

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Safford, Hugh D., and Jens T. Stevens. Natural range of variation for yellow pine and mixed-conifer forests in the Sierra Nevada, southern Cascades, and Modoc and Inyo National Forests, California, USA. Albany, CA: U.S. Department of Agriculture, Forest Service, Pacific Southwest Research Station, 2017. http://dx.doi.org/10.2737/psw-gtr-256.

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Baral, Aniruddha, Jeffery Roesler, and Junryu Fu. Early-age Properties of High-volume Fly Ash Concrete Mixes for Pavement: Volume 2. Illinois Center for Transportation, September 2021. http://dx.doi.org/10.36501/0197-9191/21-031.

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High-volume fly ash concrete (HVFAC) is more cost-efficient, sustainable, and durable than conventional concrete. This report presents a state-of-the-art review of HVFAC properties and different fly ash characterization methods. The main challenges identified for HVFAC for pavements are its early-age properties such as air entrainment, setting time, and strength gain, which are the focus of this research. Five fly ash sources in Illinois have been repeatedly characterized through x-ray diffraction, x-ray fluorescence, and laser diffraction over time. The fly ash oxide compositions from the same source but different quarterly samples were overall consistent with most variations observed in SO3 and MgO content. The minerals present in various fly ash sources were similar over multiple quarters, with the mineral content varying. The types of carbon present in the fly ash were also characterized through x-ray photoelectron spectroscopy, loss on ignition, and foam index tests. A new computer vision–based digital foam index test was developed to automatically capture and quantify a video of the foam layer for better operator and laboratory reliability. The heat of hydration and setting times of HVFAC mixes for different cement and fly ash sources as well as chemical admixtures were investigated using an isothermal calorimeter. Class C HVFAC mixes had a higher sulfate imbalance than Class F mixes. The addition of chemical admixtures (both PCE- and lignosulfonate-based) delayed the hydration, with the delay higher for the PCE-based admixture. Both micro- and nano-limestone replacement were successful in accelerating the setting times, with nano-limestone being more effective than micro-limestone. A field test section constructed of HVFAC showed the feasibility and importance of using the noncontact ultrasound device to measure the final setting time as well as determine the saw-cutting time. Moreover, field implementation of the maturity method based on wireless thermal sensors demonstrated its viability for early opening strength, and only a few sensors with pavement depth are needed to estimate the field maturity.
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Lee, Jusang, John E. Haddock, Dario D. Batioja Alvarez, and Reyhaneh Rahbar Rastegar. Quality Control and Quality Assurance of Asphalt Mixtures Using Laboratory Rutting and Cracking Tests. Purdue University, 2019. http://dx.doi.org/10.5703/1288284317087.

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The main objectives of this project were to review the available balanced-mix design (BMD) methodologies, understand the I-FIT and Hamburg Wheel Tracking Test (HWTT) test methods using INDOT asphalt mixtures, and to explore the application of these tests to both a BMD approach and as performance-related Quality Control (QC) and Quality Acceptance (QA) methods. Two QA mixture specimen types, plant-mixed laboratory-compacted (PMLC) and plant-mixed field-compacted (PMFC) were used in the determination of cracking and rutting parameters. Distribution functions for the flexibility index (FI) values and rutting parameters were determined for various mixture types. The effects of specimen geometry and air voids contents on the calculated Flexibility Index (FI) and rutting parameters were investigated. The fatigue characteristics of selected asphalt mixtures were determined using the S-VECD test according to different FI levels for different conditions. A typical full-depth pavement section was implemented in FlexPAVE to explore the cracking characteristics of INDOT asphalt mixtures by investigating the relationship between the FI values of QA samples with the FlexPAVE pavement performance predictions. The FI values obtained from PMFC specimens were consistently higher than their corresponding PMLC specimens. This study also found that FI values were affected significantly by variations in specimen thickness and air voids contents, having higher FI values with higher air voids contents and thinner specimens. These observations do not agree with the general material-performance expectations that better cracking resistance is achieved with lower air voids content and thicker layers. Additionally, PG 70-22 mixtures show the lowest mean FI values followed by the PG 76-22 and 64-22 mixtures. The same order was observed from the ΔTc (asphalt binder cracking index) of INDOT’s 2017 and 2018 projects. Finally, it was found that the HWTT showed reasonable sensitivity to the different characteristics (e.g., aggregate sizes, binder types, and air voids contents) of asphalt mixtures. Mixtures containing modified asphalt binders showed better rut resistance and higher Rutting Resistance Index (RRI) than those containing unmodified binders.
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