Relevant bibliographies by topics / Mesh-free methods

Academic literature on the topic 'Mesh-free methods'

Author: Grafiati
Published: 4 June 2021
Last updated: 7 September 2023

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Journal articles on the topic "Mesh-free methods":

1

Shaw, Amit, and D. Roy. "NURBS-based parametric mesh-free methods." Computer Methods in Applied Mechanics and Engineering 197, no. 17-18 (March 2008): 1541–67. http://dx.doi.org/10.1016/j.cma.2007.11.024.

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Cen, Song, Ming-Jue Zhou, and Yan Shang. "Shape-Free Finite Element Method: Another Way between Mesh and Mesh-Free Methods." Mathematical Problems in Engineering 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/491626.

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Performances of the conventional finite elements are closely related to the mesh quality. Once distorted elements are used, the accuracy of the numerical results may be very poor, or even the calculations have to stop due to various numerical problems. Recently, the author and his colleagues developed two kinds of finite element methods, named hybrid stress-function (HSF) and improved unsymmetric methods, respectively. The resulting plane element models possess excellent precision in both regular and severely distorted meshes and even perform very well under the situations in which other elements cannot work. So, they are calledshape-freefinite elements since their performances are independent to element shapes. These methods may open new ways for developing novel high-performance finite elements. Here, the thoughts, theories, and formulae of aboveshape-freefinite element methods were introduced, and the possibilities and difficulties for further developments were also discussed.
3

Palsanawala, Vimalkumar P. "A Study on Mesh Free Methods: A Different Form of FEM." International Journal of Trend in Scientific Research and Development Volume-2, Issue-5 (August 31, 2018): 2354–61. http://dx.doi.org/10.31142/ijtsrd18314.

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SAKURAI, HIDEYUKI. "ELEMENT-FREE METHODS VS. MESH-LESS CAE." International Journal of Computational Methods 03, no. 04 (December 2006): 445–64. http://dx.doi.org/10.1142/s0219876206001156.

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Element-free methods (EFreeMs) are expected to eliminate the mesh generation task. However, a computer aided engineering (CAE) system by EFreeM for complex three-dimensional (3D) objects has not yet been developed. This paper discusses the obstacles to the CAE and way to solve them. A 3D groundwater flow analysis system with an EFreeM is presented as a practical CAE. In the system, instead of pursuing mesh-less CAE, a unique mesh is employed to achieve the practical CAE. Some 3D examples show the performance and usefulness of the system. Two serious drawbacks of the EFreeM are also discussed from the viewpoint of the practical CAE.
5

Quinlan, N. J., M. Basa, and M. Lastiwka. "Truncation error in mesh-free particle methods." International Journal for Numerical Methods in Engineering 66, no. 13 (2006): 2064–85. http://dx.doi.org/10.1002/nme.1617.

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IMAYASU, Shinya, Matthias ROTHLIN, Mansur AKBARI, Nikolas SCHAAL, and Konrad WEGENER. "0612 Predicting the Springback of Metal Cutting Operations Using Mesh Free Methods." Proceedings of International Conference on Leading Edge Manufacturing in 21st century : LEM21 2015.8 (2015): _0612–1_—_0612–4_. http://dx.doi.org/10.1299/jsmelem.2015.8._0612-1_.

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Sridhar, Praveen, Juan Rodríguez Prieto, and Kristin de Payrebrune. "Modeling Grinding Processes—Mesh or Mesh-Free Methods, 2D or 3D Approach?" Journal of Manufacturing and Materials Processing 6, no. 5 (October 13, 2022): 120. http://dx.doi.org/10.3390/jmmp6050120.

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The objectives of this study are mainly two: (1) to validate whether a single grain scratch process can be modeled in two dimensions under the assumption of plane strain, and (2) to select the best discretization approach to model a single grain scratch process. This paper first focuses on the simulation of the orthogonal cutting process (aluminum alloy A2024 T351) using two mesh-based discretization approaches, the pure Lagrangian method (LAG) and the arbitrary Lagrangian–Eulerian method (ALE), and two particle-based approaches, the particle finite element method (PFEM) and smooth particle hydrodynamics (SPH), for both positive and negative rake angles. Benchmarking of the orthogonal cutting models at a rake angle of γ=20∘ is performed with the results of the process forces (cutting and passive forces) of a turning experiment from the literature. It is shown that all models are able to predict the cutting forces, but not the passive force. The orthogonal cutting model is further extended to simulate the cutting mechanism with negative rake tool geometries typically found in grinding and single grit scratching processes. The effects of the negative rake angles on the discretization approaches are studied. The calculated process forces are also compared to the measurements of the single grit scratch process performed at our laboratory. The 2D orthogonal cutting models significantly overestimate the process forces. One of the reasons why the orthogonal 2D cutting model is inadequate is that it cannot describe the complex mechanisms of material removal such as rubbing, plowing, and cutting. To account for these phenomena in LAG, ALE, and SPH discretization approaches, a 3D scratch model is developed. When comparing the process forces of the 3D model with the experimental measurements, all three discretization approaches show good agreement. However, it can be seen that the ALE model most closely matches the process forces with the experimental results. Finally, the ALE 3D scratch model was subjected to sensitivity analysis by changing the cutting speed, the depth of cut and the tool geometry. The results clearly show that the ALE method not only predicts the process forces and form the trends observed in the scratching experiments, but also predicts the scratch topography satisfactorily. Hence, we conclude that a 3D model is necessary to describe a scratch process and that the ALE method is the best discretization method.
8

YOKOTA, Rio, and Shinnosuke OBI. "662 Mesh-free Turbulence Simulation Using Vortex Methods." Proceedings of Conference of Tokai Branch 2007.56 (2007): 323–24. http://dx.doi.org/10.1299/jsmetokai.2007.56.323.

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Fernández-Méndez, Sonia, and Antonio Huerta. "Imposing essential boundary conditions in mesh-free methods." Computer Methods in Applied Mechanics and Engineering 193, no. 12-14 (March 2004): 1257–75. http://dx.doi.org/10.1016/j.cma.2003.12.019.

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Liu ,, GR, and D. Karamanlidis ,. "Mesh Free Methods: Moving Beyond the Finite Element Method." Applied Mechanics Reviews 56, no. 2 (March 1, 2003): B17—B18. http://dx.doi.org/10.1115/1.1553432.

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Journal articles Dissertations / Theses

Dissertations / Theses on the topic "Mesh-free methods":

1

Yakutovich, Mikhail. "Mesh-free methods for liquid crystal simulation." Thesis, Sheffield Hallam University, 2009. http://shura.shu.ac.uk/20580/.

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The key aim of this Thesis is the development and implementation of a set of simulation techniques for LCs capable of tackling mesoscopic phenomena. In this, we concentrate only on mesh-free particle numerical techniques. Two broad approaches are used, namely bottom-up and top-down. While adopting the bottom-up approach, we employ the DPD method as a foundation for devising a novel LC simulation technique. In this, we associate a traceless symmetric order tensor, Q, with each DPD particle. We then further extend the DPD forces to directly incorporate the Q tensor description so as to recover a more complete representation of LC behaviour. The devised model is verified against a number of qualitative examples and applied to the simulation of colloidal particles immersed in a nematic LC. We also discuss advantages of the developed model for simulation of dynamic mesoscopic LC phenomena. In the top-down approach, we utilise recently emergent numerical mesh-free methods. Specifically, we use the SPH method and its variants. The developed method includes hydrodynamics, variable order parameter and external electric and magnetic fields. The developed technique is validated against a number of analytical and numerical solutions. Subsequently, we apply our top-down methods to the simulation of the complex 3D post-aligned bistable nematic (PABN) device. This includes a smooth geometry representation in order to fully exploit the developed mesh-free numerical techniques. We study both the static and dynamic behaviours of the PABN device for a number of distinct post shapes.
2

Fernàndez, Méndez Sònia. ""Mesh-free methods and finite elements: friend or foe?"." Doctoral thesis, Universitat Politècnica de Catalunya, 2001. http://hdl.handle.net/10803/6705.

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This thesis is devoted to the numerical analysis of mesh-free methods and, in particular, to the study of the possible advantages of the EFG (Element Free Galerkin) mesh-free method against the well-known FE (Finite Element) method. More precisely, the EFG method and the FE method behavior are compared in two particular interesting problems: (1) analysis of volumetric locking in mechanical problems and (2) accurate resolution of transient convection dominated problems. In both cases the good properties and possibilities of mesh-free methods become apparent.
However, in several situations the FE method is still more competitive: for instance, the computation of the FE shape functions and its integrals are less costly, and essential boundary conditions can be easily imposed. Thus, in order to take advantage of the good properties of both methods, a mixed interpolation combining FE and EFG is proposed. This formulation can be applied in two useful situations: (i) enrichment of finite elements with EFG, and (ii) coupling of FE and EFG. An a priori error estimate for the first one is presented and proved. Several examples show the applicability of the mixed interpolation in adaptive computations.
Aquesta tesi està dedicada a l'anàlisi numèrica dels mètodes sense malla i, en particular, a l'estudi dels possibles avantatges del mètode EFG (Element Free Galerkin) davant del ben conegut MEF (Mètode dels Elements Finits). Concretament, es comparen el mètode EFG i el MEF en dos problemes concrets d'interès: (1) l'anàlisi del bloqueig volumètric en problemes mecànics i (2) la resolució precisa de problemes transitoris amb convecció dominant. Les bones propietats i possibilitats dels mètodes sense malla es fan evidents en tots dos casos.
Tot i així, en varis aspectes el MEF resulta més competitiu: per exemple, el càlcul de les funcions de forma i de les seves integrals es menys costós, i les condicions de contorn essencials es poden imposar fàcilment. Amb l'objectiu d'aprofitar les bones qualitats dels dos mètodes, es proposa una interpolació mixta combinant elements finits y EFG, aplicable en dues situacions: (i) enriquiment d'elements finits amb EFG i (ii) acoblament d'elements finits i EFG. Per al primer cas, es presenta i demostra una cota a priori de l'error. L'aplicabilitat d'aquesta interpolació mixta en processos adaptatius es mostra amb varis exemples.
Esta tesis está dedicada al análisis numérico de los métodos sin malla y, en particular, al estudio de las posibles ventajas del método EFG (Element Free Galerkin) frente al bien conocido MEF (Método de los Elementos Finitos). Concretamente, se comparan el método EFG y el MEF en dos problemas concretos de interés: (1) el análisis del bloqueo volumétrico en problemas mecánicos y (2) la resolución precisa de problemas transitorios con convección dominante. Las buenas propiedades y posibilidades de los métodos sin malla se hacen evidentes en ambos casos.
Sin embargo, en varios aspectos el MEF resulta más competitivo: por ejemplo, el cálculo de las funciones de forma y sus integrales es menos costoso, y las condiciones de contorno esenciales se pueden imponer fácilmente. Con el objetivo de aprovechar las buenas cualidades de ambos métodos, se propone una interpolación mixta combinando elementos finitos y EFG, aplicable en dos situaciones: (i) enriquecimiento de elementos finitos con EFG, y (ii) acoplamiento de elementos finitos y EFG. Para el primer caso, se presenta y demuestra una cota a priori del error. La aplicabilidad de esta interpolación mixta en procesos adaptativos se muestra con varios ejemplos.
3

Sidahmed, Abdelmgid Osman Mohammed. "Mesh free methods for differential models in financial mathematics." Thesis, University of the Western Cape, 2011. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_3917_1319185202.

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Many problems in financial world are being modeled by means of differential equation. These problems are time dependent, highly nonlinear, stochastic and heavily depend on the previous history of time. A variety of financial products exists in the market, such as forwards, futures, swaps and options. Our main focus in this thesis is to use the numerical analysis tools to solve some option pricing problems. Depending upon the inter-relationship of the financial derivatives, the dimension of the associated problem increases drastically and hence conventional methods (for example, the finite difference methods or finite element methods) for solving them do not provide satisfactory results. To resolve this issue, we use a special class of numerical methods, namely, the mesh free methods. These methods are often better suited to cope with changes in the geometry of the domain of interest than classical discretization techniques. In this thesis, we apply these methods to solve problems that price standard and non-standard options. We then extend the proposed approach to solve Heston' volatility model. The methods in each of these cases are analyzed for stability and thorough comparative numerical results are provided.
4

Zhang, Yubo. "Moving mesh methods for viscoelastic flows with free boundaries." HKBU Institutional Repository, 2009. http://repository.hkbu.edu.hk/etd_ra/1072.

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Vidal, Seguí Yolanda. "Mesh-Free Methods for Dynamic Problems. Incompressibility and Large Strain." Doctoral thesis, Universitat Politècnica de Catalunya, 2005. http://hdl.handle.net/10803/6709.

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This thesis makes two noteworthy contributions in the are of mesh-free methods: a Pseudo-Divergence-Free (PDF) Element Free Galerkin (EFG) method which alleviates the volumetric locking and a Stabilized Updated Lagrangian formulation which allows to solve fast-transient dynamic problems involving large distortions. The thesis is organized in the following way.
First of all, this thesis dedicates one chapter to the state of the art of mesh-free methods. The main reason is because there are many mesh-free methods that can be found in the literature which can be based on different ideas and with different properties. There is a real need of classifying, ordering and comparing these methods: in fact, the same or almost the same method can be found with different names in the literature.
Secondly, a novel improved formulation of the (EFG) method is proposed in order to alleviate volumetric locking. It is based on a pseudo-divergence-free interpolation. Using the concept of diffuse derivatives an a convergence theorem of these derivatives to the ones of the exact solution, the new approximation proposed is obtained imposing a zero diffuse divergence. In this way is guaranteed that the method verifies asymptotically the incompressibility condition and in addition the imposition can be done a priori. This means that the main difference between standard EFG and the improved method is how is chosen the interpolation basis. Modal analysis and numerical results for two classical benchmark tests in solids corroborate that, as expected, diffuse derivatives converge to the derivatives of the exact solution when the discretization is refined (for a fixed dilation parameter) and, of course, that diffuse divergence converges to the exact divergence with the expected theoretical rate. For standard EFG the typical convergence rate is degrade as the incompressible limit is approached but with the improved method good results are obtained even for a nearly incompressible case and a moderately fine discretization. The improved method has also been used to solve the Stokes equations. In this case the LBB condition is not explicitly satisfied because the pseudo-divergence-free approximation is employed. Reasonable results are obtained in spite of the equal order interpolation for velocity and pressure.
Finally, several techniques have been developed in the past to solve the well known tensile instability in the SPH (Smooth Particle Hydrodynamics) mesh-free method. It has been proved that a Lagrangian formulation removes completely the instability (but zero energy modes exist). In fact, Lagrangian SPH works even better than the Finite Element Method in problems involving distortions. Nevertheless, in problems with very large distortions a Lagrangian formulation will need of frequent updates of the reference configuration. When such updates are incorporated then zero energy modes are more likely to be activated. When few updates are carried out the error is small but when updates are performed frequently the solution is completely spoilt because of the zero energy modes. In this thesis an updated Lagrangian formulation is developed. It allows to carry out updates of the reference configuration without suffering the appearance of spurious modes. To update the Lagrangian formulation an incremental approach is used: an intermediate configuration will be the new reference configuration for the next time steps. It has been observed that this updated formulation suffers from similar numerical fracture to the Eulerian case. A modal analysis has proven that there exist zero energy modes. In the paper the updated Lagrangian method is exposed in detail, a stability analysis is performed and finally a stabilization technique is incorporated to preclude spurious modes.
6

Liang, Xiaodong, and 梁？東. "A comparative study of Galerkin mesh-free and finite element methods." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B30147694.

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Hunt, David Patrick. "Mesh-free radial basis function methods for advection-dominated diffusion problems." Thesis, University of Leicester, 2005. http://hdl.handle.net/2381/30529.

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This thesis is concerned with the numerical solution of advection-dominated diffusion problems. There are essentially two key aspects to this work: the derivatives of an a priori error estimate for a semi-Lagrangian mesh-free method using radial basis function interpolation to numerically approximate the first-order linear transport problem; and the design and testing of a semi-Lagrangian mesh-less method to numerically solve the full parabolic advection-diffusion problem, using radial basis function Hermite interpolation. We begin by establishing the theory of radical basis function interpolation, including new results for the stability of interpolation via the class of radial basis functions known as polyharmonic splines, as well as error estimates for interpolation by the same class of function. These results provide us with the necessary tools to prove the a priori error estimate for the semi-Lagrangian advection scheme, given certain assumptions on the smoothness of the solution. We then validate both the scheme and the analysis with a series of numerical experiments. By introducing the concept of Hermite interpolation, we develop and implement a new semi-Lagrangian method for the numerical approximation of advection-dominated diffusion problems, which is validated through two numerical experiments.
8

Wang, Shuang. "A volumetric mesh-free deformation method for surgical simulation in virtual environments." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 78 p, 2009. http://proquest.umi.com/pqdweb?did=1885755951&sid=3&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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Le, Canh. "Novel numerical procedures for limit analysis of structures : mesh-free methods and mathematical programming." Thesis, University of Sheffield, 2010. http://etheses.whiterose.ac.uk/856/.

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Current research in the field of limit analysis is focussing on the development of numerical tools which are sufficiently efficient and robust to be used in engineering practice. This places demands on the numerical discretisation strategy adopted as well as on the mathematical programming tools applied, which are the key ingredients of a typical computational limit analysis procedure. In this research, the Element-Free Galerkin (EFG) discretisation strategy is used to approximate the displacement and moment fields in plate and slab problems, and second-order cone programming (SOCP) is used to solve the resulting discretised formulations. A numerical procedure using the EFG method and second-order cone programming for the kinematic limit analysis problem was developed first. The moving least squares technique was used in combination with a stabilised conforming nodal integration scheme, both to keep the size of the optimisation problem small and to provide stable and accurate solutions. The formulation was expressed as a problem of minimizing a sum of Euclidean norms, which was then transformed into a form suitable for solution using SOCP. To improve the accuracy of solutions and to speed-up the computational process, an efficient h-adaptive EFG scheme was also developed. The naturally conforming property of meshfree approximations (with no nodal connectivity required) facilitates the implementation of h-adaptivity. The error in the computed displacement field was estimated accurately using the Taylor expansion technique. A stabilised conforming nodal integration scheme was also extended to error estimators, leading to an efficient and truly meshfree adaptive method. To obtain an indication of bounds on the solutions obtained, an equilibrium formulation was also developed. Pure moment fields were approximated using a moving least squares technique. The collocation method was used to enforce the strong form of the equilibrium equations and a stabilised conforming nodal integration scheme was introduced to eliminate numerical instability problems. The von Mises and Nielsen yield criteria were then enforced by introducing second-order cone constraints.
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Akyazi, Fatma Dilay. "Element-free Galerkin Method For Plane Stress Problems." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12611685/index.pdf.

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In this study, the Element-Free Galerkin (EFG) method has been used for the analysis of plane stress problems. A computer program has been developed by using FORTRAN language. The moving least squares (MLS) approximation has been used in generating shape functions. The results obtained by the EFG method have been compared with analytical solution and the numerical results obtained by MSC. Patran/Nastran. The comparisons show that the mesh free method gives more accurate results than the finite element approximation with less computational effort.
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Books on the topic "Mesh-free methods":

1

Liu, G. R. Mesh free methods: Moving beyond the finite element method. 2nd ed. Boca Raton: Taylor & Francis, 2009.

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Liu, G. R. Mesh free methods: Moving beyond the finite element method. Boca Raton, FL: CRC Press, 2003.

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Liu, G. R. Mesh free methods: Moving beyond the finite element method. Boca Raton, Fla: CRC Press, 2003.

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Kyle, Jonathan Paul. The Rheology of Nanoparticle Additives: An Investigation Utilizing Mesh Free Methods. [New York, N.Y.?]: [publisher not identified], 2014.

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Liu, G. R. Mesh Free Methods. CRC Press, 2002. http://dx.doi.org/10.1201/9781420040586.

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Liu, G. R. Mesh Free Methods: Moving Beyond the Finite Element Method. CRC, 2002.

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Liu, G. R. Mesh Free Methods: Moving Beyond the Finite Element Method. Taylor & Francis Group, 2003.

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Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications. MDPI, 2021. http://dx.doi.org/10.3390/books978-3-0365-0137-6.

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Book chapters on the topic "Mesh-free methods":

1

Nagaoka, Shinsuke, Masakazu Inaba, and Genki Yagawa. "3D Animation for Free Mesh Method." In Computational Methods in Engineering & Science, 263. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-48260-4_109.

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Chen, Shenghong. "Mesh-Free Methods with Special Focus on SPH." In Springer Tracts in Civil Engineering, 655–710. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-7427-4_10.

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Chen, Shenghong. "Mesh-Free Methods with Special Focus on EFGM." In Springer Tracts in Civil Engineering, 593–654. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-7427-4_9.

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Kobayashi, Yosuke, and Genki Yagawa. "Parallel Computing for Enriched Free Mesh Method (EFMM)." In Computational Methods in Engineering & Science, 262. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-48260-4_108.

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Osaki, Hiroaki, Hitoshi Matsubara, and Genki Yagawa. "3D Crack Propagation Analysis Using Free Mesh Method." In Computational Methods in Engineering & Science, 201. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-48260-4_47.

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Wackers, Jeroen, Ganbo Deng, Emmanuel Guilmineau, Alban Leroyer, Patrick Queutey, and Michel Visonneau. "Anisotropic Mesh Refinement in Ship Flow Simulation with Free Surface." In Computational Methods in Applied Sciences, 273–84. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-6143-8_16.

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Yagawa, G., T. Yamada, and T. Furukawa. "Parallel Computing with Free Mesh Method: Virtually Meshless FEM." In IUTAM Symposium on Discretization Methods in Structural Mechanics, 165–72. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4589-3_19.

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Wang, S., C. Guedes Soares, J. González-Cao, J. M. Domínguez, and M. Gómez-Gesteira. "Numerical analysis of water impact of spheres using mesh-free and mesh-based methods." In Developments in Maritime Technology and Engineering, 329–37. London: CRC Press, 2021. http://dx.doi.org/10.1201/9781003216599-35.

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Yagawa, Genki, and Hitoshi Matsubara. "Enriched Free Mesh Method: An Accuracy Improvement for Node-based FEM." In Computational Methods in Applied Sciences, 207–19. Dordrecht: Springer Netherlands, 2007. http://dx.doi.org/10.1007/978-1-4020-6577-4_12.

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Oliveira, Tiago, Wilber Vélez, and Artur Portela. "Local Mesh Free Methods in Linear Elasticity and Fracture Mechanics." In Fundamental Concepts and Models for the Direct Problem, 899–958. Brasilia, DF, Brazil: Biblioteca Central da Universidade de Brasilia, 2022. http://dx.doi.org/10.4322/978-65-86503-83-8.c23.

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Conference papers on the topic "Mesh-free methods":

1

Daum, Fred. "Mesh-free adjoint methods for nonlinear filters." In Optics & Photonics 2005, edited by Oliver E. Drummond. SPIE, 2005. http://dx.doi.org/10.1117/12.610672.

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Liu, L., and V. B. C. Tan. "A MESH FREE METHOD FOR DYNAMIC ANALYSIS OF THIN SHELLS." In Proceedings of the 1st Asian Workshop on Meshfree Methods. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778611_0016.

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Matsubara, Hitoshi, Shigeo Iraha, Jun Tomiyama, and Genki Yagawa. "APPLICATION OF 3D FREE MESH METHOD TO FRACTURE ANALYSIS OF CONCRETE." In Proceedings of the 1st Asian Workshop on Meshfree Methods. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778611_0011.

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Imasato, J., and Y. Sakai. "APPLICATION OF 2-DIMENSIONAL CRACK PROPAGATION PROBLEM USING FREE MESH METHOD." In Proceedings of the 1st Asian Workshop on Meshfree Methods. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778611_0013.

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Vélez, Wilber, Tiago da Silva Oliveira, Elvis Pereira de Santana, and Artur Portela. "Generalized-strain mesh-free method (GSMF) for two-dimensional elasticity problems." In XXXVIII Iberian-Latin American Congress on Computational Methods in Engineering. Florianopolis, Brazil: ABMEC Brazilian Association of Computational Methods in Engineering, 2017. http://dx.doi.org/10.20906/cps/cilamce2017-0930.

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Crist, James. "Advantages of Mesh Free Methods for Structural and Fluid Analysis." In WCX SAE World Congress Experience. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2019. http://dx.doi.org/10.4271/2019-01-0939.

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7

Sladek, V., J. Sladek, B. Musil, and L. Sator. "The study of porous elastic plates by mesh-free methods." In BEM/MRM 37. Southampton, UK: WIT Press, 2014. http://dx.doi.org/10.2495/be370061.

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8

Tomiyama, Jun, Yoshitomo Yamada, Shigeo Iraha, and Genki Yagawa. "APPLICATION OF FREE MESH METHOD TO VISCOPLASTIC FLOW ANALYSIS OF FRESH CONCRETE." In Proceedings of the 1st Asian Workshop on Meshfree Methods. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778611_0020.

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Cui, Michael, Daniel D. Harabor, and Alban Grastien. "Compromise-free Pathfinding on a Navigation Mesh." In Twenty-Sixth International Joint Conference on Artificial Intelligence. California: International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/70.

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Abstract:
We want to compute geometric shortest paths in a collection of convex traversable polygons, also known as a navigation mesh. Simple to compute and easy to update, navigation meshes are widely used for pathfinding in computer games. When the mesh is static, shortest path problems can be solved exactly and very fast but only after a costly preprocessing step. When the mesh is dynamic, practitioners turn to online methods which typically compute only approximately shortest paths. In this work we present a new pathfinding algorithm which is compromise-free; i.e. it is simultaneously fast, online and optimal. Our method, Polyanya, extends and generalises Anya; a recent and related interval-based search technique developed for computing geometric shortest paths in grids. We show how that algorithm can be modified to support search over arbitrary sets of convex polygons and then evaluate its performance on a range of realistic and synthetic benchmark problems.
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Nakama, Yutaka, Akio Shimada, Yasuhiro Kanto, Tomoaki Ando, and Genki Yagawa. "OBJECT ORIENTED DEVELOPMENT OF FMM3D: FOUNDATION SOFTWARE FOR PARALLEL 3D FREE MESH METHOD." In Proceedings of the 1st Asian Workshop on Meshfree Methods. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778611_0028.

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Reports on the topic "Mesh-free methods":

1

Acred, Aleksander, Milena Devineni, and Lindsey Blake. Opioid Free Anesthesia to Prevent Post Operative Nausea/Vomiting. University of Tennessee Health Science Center, July 2021. http://dx.doi.org/10.21007/con.dnp.2021.0006.

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Purpose The purpose of this study is to compare the incidence of post-operative nausea and vomiting (PONV) in opioid-utilizing and opioid-free general anesthesia. Background PONV is an extremely common, potentially dangerous side effect of general anesthesia. PONV is caused by a collection of anesthetic and surgical interventions. Current practice to prevent PONV is to use 1-2 antiemetics during surgery, identify high risk patients and utilize tracheal intubation over laryngeal airways when indicated. Current research suggests minimizing the use of volatile anesthetics and opioids can reduce the incidence of PONV, but this does not reflect current practice. Methods In this scoping review, the MeSH search terms used to collect data were “anesthesia”, “postoperative nausea and vomiting”, “morbidity”, “retrospective studies”, “anesthesia, general”, “analgesics, opioid”, “pain postoperative”, “pain management” and “anesthesia, intravenous”. The Discovery Search engine, AccessMedicine and UpToDate were the search engines used to research this data. Filters were applied to these searches to ensure all the literature was peer-reviewed, full-text and preferably from academic journals. Results Opioid free anesthesia was found to decrease PONV by 69%. PONV incidence was overwhelming decreased with opioid free anesthesia in every study that was reviewed. Implications The future direction of opioid-free anesthesia and PONV prevention are broad topics to discuss, due to the nature of anesthesia. Administration of TIVA, esmolol and ketamine, as well as the decision to withhold opioids, are solely up to the anesthesia provider’s discretion. Increasing research and education in the importance of opioid-free anesthesia to decrease the incidence of PONV will be necessary to ensure anesthesia providers choose this protocol in their practice.
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Sandeep, Bhushan, xin Huang, and Zongwei Xiao. Analgesic efficacy of erector spinae plane block in arthroscopic shoulder surgery: a systemic review and meta-analysis of randomised controlled trial. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, December 2022. http://dx.doi.org/10.37766/inplasy2022.12.0084.

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Review question / Objective: Erector spinae plane block (ESPB) has been employed in arthroscopic shoulder surgery (ASS) as an alternative novel interfacial plane block. However, its analgesic efficacy is still controversial. Whether ESPB could improve analgesic efficacy in ASS is what the current meta-analysis seeks to find out. Information sources: We searched different databases including the Cochrane Library, PubMed, Embase, and Web of Science from inception to November 29, 2022, using medical subject headings (MeSH) and free-text terms without language restrictions. The primary purpose of searching was for the selection of RCTs for meta-analysis but also to avoid unplanned duplication and compare reported review methods from other systematic reviews. The following search terms were used for the search of each database: “arthroscopic shoulder surgery”, “shoulder surgery”, “total shoulder arthroplasty”, “shoulder arthroscopy”, and “erector spinae plane block”, “erector spinae muscle”. We also searched for grey literature by supplementary hand searching.
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Templeton, Jeremy Alan, Lindsay Crowl Erickson, and Karla Vanessa Morris. A Mesh-Free Method to Predictively Simulate Solid-to-Liquid Phase Transitions in Abnormal Thermal Environments. Office of Scientific and Technical Information (OSTI), September 2016. http://dx.doi.org/10.2172/1562815.

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