Log in

Relevant bibliographies by topics / Biharmonic equation / Dissertations / Theses

To see the other types of publications on this topic, follow the link: Biharmonic equation.

Dissertations / Theses on the topic 'Biharmonic equation'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 26 dissertations / theses for your research on the topic 'Biharmonic equation.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse dissertations / theses on a wide variety of disciplines and organise your bibliography correctly.

1

Monterde, J., and Hassan Ugail. "A comparative study between Biharmonic Bezier surfaces and Biharmonic extremal surfaces." ACTA Press, 2009. http://hdl.handle.net/10454/2795.

Full text

Abstract:

No<br>Given a prescribed boundary of a Bezier surface we compare the Bezier surfaces generated by two different methods, i.e. the Bezier surface minimising the Biharmonic functional and the unique Bezier surface solution of the Biharmonic equation with prescribed boundary. Although often the two types of surfaces look visually the same, we show that they are indeed different. In this paper we provide a theoretical argument showing why the two types of surfaces are not always the same.

APA, Harvard, Vancouver, ISO, and other styles

2

Ugail, Hassan. "3D facial data fitting using the biharmonic equation." ACTA Press, 2006. http://hdl.handle.net/10454/2684.

Full text

Abstract:

This paper discusses how a boundary-based surface fitting approach can be utilised to smoothly reconstruct a given human face where the scan data corresponding to the face is provided. In particular, the paper discusses how a solution to the Biharmonic equation can be used to set up the corresponding boundary value problem. We show how a compact explicit solution method can be utilised for efficiently solving the chosen Biharmonic equation. Thus, given the raw scan data of a 3D face, we extract a series of profile curves from the data which can then be utilised as boundary conditions to solve

APA, Harvard, Vancouver, ISO, and other styles

3

Ugail, Hassan, and A. Sourin. "Partial differential equations for function based geometry modelling within visual cyberworlds." IEEE Computer Society, 2008. http://hdl.handle.net/10454/2612.

Full text

Abstract:

We propose the use of Partial Differential Equations (PDEs) for shape modelling within visual cyberworlds. PDEs, especially those that are elliptic in nature, enable surface modelling to be defined as boundary-value problems. Here we show how the PDE based on the Biharmonic equation subject to suitable boundary conditions can be used for shape modelling within visual cyberworlds. We discuss an analytic solution formulation for the Biharmonic equation which allows us to define a function based geometry whereby the resulting geometry can be visualised efficiently at arbitrary levels of sha

APA, Harvard, Vancouver, ISO, and other styles

4

Shitta, Abiola. "Modeling Swelling Instabilities in Surface Confined Hydrogels." Scholar Commons, 2010. https://scholarcommons.usf.edu/etd/1769.

Full text

Abstract:

The buckling of a material subject to stress is a very common phenomenon observed in mechanics. However, the observed buckling of a surface confined hydrogel due to swelling is a unique manifestation of the buckling problem. The reason for buckling is the same in all cases; there is a certain magnitude of force that once exceeded, causes the material to deform itself into a buckling mode. Exactly what that buckling mode is as well as how much force is necessary to cause buckling depends on the material properties. Taking both a finite difference and analytical approach to the problem, it is de

APA, Harvard, Vancouver, ISO, and other styles

5

Larsson, Karl. "Finite Element Methods for Thin Structures with Applications in Solid Mechanics." Doctoral thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-79297.

Full text

Abstract:

Thin and slender structures are widely occurring both in nature and in human creations. Clever geometries of thin structures can produce strong constructions while requiring a minimal amount of material. Computer modeling and analysis of thin and slender structures have their own set of problems, stemming from assumptions made when deriving the governing equations. This thesis deals with the derivation of numerical methods suitable for approximating solutions to problems on thin geometries. It consists of an introduction and four papers. In the first paper we introduce a thread model for use i

APA, Harvard, Vancouver, ISO, and other styles

6

Гонтаренко, Д. М. "Чисельне дослідження взаємодії особливостей різного типу для задачі згину пластини". Master's thesis, Сумський державний університет, 2019. http://essuir.sumdu.edu.ua/handle/123456789/73842.

Full text

Abstract:

Отримано розрахунки напружено-деформованого стану тонкостінної пластинки з частково защемленим краєм і тріщиною. Проведено дослідження взаємодії особливостей які виникають в точці зміни крайових умов та у вершині тріщини.

APA, Harvard, Vancouver, ISO, and other styles

7

Nóbrega, Alannio Barbosa. "Multiplicidade de solução do tipo multi-bump para problemas elípticos." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/9250.

Full text

Abstract:

Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-14T11:52:04Z No. of bitstreams: 1 arquivototal.pdf: 1035035 bytes, checksum: 24db9b859fa0c32ac6b5b442ef6e12fa (MD5)<br>Made available in DSpace on 2017-08-14T11:52:04Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1035035 bytes, checksum: 24db9b859fa0c32ac6b5b442ef6e12fa (MD5) Previous issue date: 2016-11-28<br>In this work we study the existence of multi-bump solutions to a certain class of elliptic problems involving biharmonic problems. Moreover, we apply the method developed to biharmonic for study the exis

APA, Harvard, Vancouver, ISO, and other styles

8

McHale, Kimberley Paige Perry. "Inequalities for vibration and buckling of a clamped plate /." free to MU campus, to others for purchase, 1997. http://wwwlib.umi.com/cr/mo/fullcit?p9842551.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Sani, F. "EXPONENTIAL-TYPE INEQUALITIES IN R^N AND APPLICATIONS TO ELLIPTIC AND BIHARMONIC EQUATIONS." Doctoral thesis, Università degli Studi di Milano, 2012. http://hdl.handle.net/2434/170626.

Full text

Abstract:

Adams' inequality in its original form is nothing but the Trudinger-Moser inequality for Sobolev spaces involving higher order derivatives. In this Thesis we present Adams-type inequalities for unbounded domains in R^n and some applications to existence and multiplicity results for elliptic and biharmonic problems involving nonlinearities with exponential growth.

APA, Harvard, Vancouver, ISO, and other styles

10

Pimenta, Marcos Tadeu de Oliveira. "Estudo de alguns problemas elípticos para o operador biharmônico." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-07062011-084414/.

Full text

Abstract:

Nesse trabalho estudamos questões de existência, multiplicidade e concentração de soluções de uma classe de problemas elípticos biharmônicos. Nos três primeiros capítulos são utilizados métodos variacionais para estudar a existência, multiplicidade e comportamento assintótico das soluções fracas não-triviais de equações de Schrödinger estacionárias biharmônicas com diferentes hipóteses sobre o potencial e sobre a não-linearidade. No último capítulo, o método de decomposição em cones duais é empregado para obter a existência de três soluções (positiva, negativa e nodal) para uma equação biharmô

APA, Harvard, Vancouver, ISO, and other styles

11

Wang, Bohe. "The application of finite difference method and MATLAB in engineering plates." Morgantown, W. Va. : [West Virginia University Libraries], 1999. http://etd.wvu.edu/templates/showETD.cfm?recnum=1037.

Full text

Abstract:

Thesis (M.S.)--West Virginia University, 1999.<br>Title from document title page. Document formatted into pages; contains iv, 87 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 86-87).

APA, Harvard, Vancouver, ISO, and other styles

12

Nós, Rudimar Luiz. "\"Simulações de escoamentos tridimensionais bifásicos empregando métodos adaptativos e modelos de campo fase\"." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-08052007-143200/.

Full text

Abstract:

Este é o primeiro trabalho que apresenta simulações tridimensionais completamente adaptativas de um modelo de campo de fase para um fluido incompressível com densidade de massa constante e viscosidade variável, conhecido como Modelo H. Solucionando numericamente as equações desse modelo em malhas refinadas localmente com a técnica AMR, simulamos computacionalmente escoamentos bifásicos tridimensionais. Os modelos de campo de fase oferecem uma aproximação física sistemática para investigar

APA, Harvard, Vancouver, ISO, and other styles

13

Jiang, Jian-Hung, and 江建宏. "A Boundary Integral Method for the Biharmonic Equation." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/48550718550272271932.

Full text

Abstract:

碩士<br>大同大學<br>應用數學研究所<br>89<br>A boundary integral method of the solution of the biharmonic equation △(△u)=f with boundary conditions that the function u and the outer normal derivative of u are zero on the boundary. Suppose φ is a fundamental solution of Laplacian and by letting △u=w,△w=f and △G=φ.We derive a system of boundary integral equations to solve the functions u and w. Numerical experiments are carried out on the unit circle.Sereval formulas of the integrals involved φ and G on the unit circle are proved in detail.

APA, Harvard, Vancouver, ISO, and other styles

14

Hsieh, Chuan, and 謝詮. "On the Blow-up solutions of Biharmonic Equation on a ball." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/24342102475241273333.

Full text

Abstract:

碩士<br>國立中央大學<br>數學研究所<br>92<br>In he paper we are consider for Biharmonic Equations and Polyharmonic Equation in the finite interval will Blow-up. In the chapter 1 we are introduce the main theorem and to definition equation. In the chapter we give some Lemmas in order to proofs theorems 1.1 and 1.2 In the chapter 3 we proofs of theorem 1.1 and 1.2,and the last chapter we give the references

APA, Harvard, Vancouver, ISO, and other styles

15

Chen, Zhi-You, and 陳志有. "The existence and nonexistence of the positive entire solutions in Biharmonic equation." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/13314819632480061944.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Gonzalez, Castro Gabriela, Robert Spares, Hassan Ugail, Benjamin R. Whiteside, and John Sweeney. "Towards the analytic characterization of micro and nano surface features using the Biharmonic equation." 2011. http://hdl.handle.net/10454/4979.

Full text

Abstract:

Yes<br>The prevalence of micromoulded components has steadily increased over recent years. The production of such components is extremely sensitive to a number of variables that may potentially lead to significant changes in the surface geometry, often regarded as a crucial determinant of the product¿s functionality and quality. So far, traditional large-scale quality assessment techniques have been used in micromoulding. However, these techniques are not entirely suitable for small scales . Techniques such as Atomic Force Mi- croscopy (AFM) or White Light Interferometry (WLI) have been used f

APA, Harvard, Vancouver, ISO, and other styles

17

Ahmat, N., H. Ugail, and Castro G. Gonzalez. "Elastic-plastic contact law for simulation of tablet crushing using the biharmonic equation." 2012. http://hdl.handle.net/10454/5811.

Full text

Abstract:

This work presents a technique for shape modelling of cylindrical and spherical tablets subject to compression. This technique is based on the use of partial differential equations (PDEs), the biharmonic equation in particular. The deformation of the compressed elastic-plastic tablet of both shapes was obtained using the existing contact models found in literature. The mathematical properties of the biharmonic equation have been exploited to achieve simple mathematical expressions characterising the shape of the distorted tablet. Thus, the height, radius and contact area of both configurations

APA, Harvard, Vancouver, ISO, and other styles

18

Liu, Hsi-Chi, and 劉喜吉. "Fast direct solver for the biharmonic equation on a disk and its applications." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/83652627696082147470.

Full text

Abstract:

碩士<br>國立中正大學<br>應用數學研究所<br>91<br>We develop a simple and efficient FFT-based fast direct solver for the biharmonic equation on a disk. The biharmonic equation is regarded as a coupled system of harmonic problems. We first use the truncated Fourier series expansion to derive a set of coupled singular ODEs, then we solve those singular equations by a second-order finite difference discretization. Using a radial grid with shifting a half mesh away from the origin, we can handle the coordinate singularity easily without pole conditions. The Sherman-Morrison formula is then applied to solve the res

APA, Harvard, Vancouver, ISO, and other styles

19

Yang, Ding-En, and 楊定恩. "Solving 3D Biharmonic Equation Interior Problem by Using Multiple Scale/Direction Trefftz Method." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/55406413850672941327.

Full text

Abstract:

碩士<br>國立臺灣大學<br>土木工程學研究所<br>104<br>In this thesis, we develope a multi-scale and multi-directional Trefffz Method numerical method for three-dimensional biharmonic equation Cauchy problem and the inverse problem. In the past, the two-dimensional biharmonic equation has arisen many numerical methods, however, there is still not an efficient numerical method to solve the three-dimensional problem.Here we use Trefftz method for solving the two-dimensional problem and extend this method to solve the problem the three-dimensional.The proposed approach is even moreeffective and simple than the conve

APA, Harvard, Vancouver, ISO, and other styles

20

Gonzalez, Castro Gabriela, Robert Spares, Hassan Ugail, John Sweeney, and Benjamin R. Whiteside. "Towards the analytic characterization of micro and nano surface features using the Biharmonic equation." 2012. http://hdl.handle.net/10454/5426.

Full text

Abstract:

no<br>The prevalence of micromoulded components has steadily increased over recent years. The production of such components is extremely sensitive to a number of variables that may potentially lead to significant changes in the surface geometry, often regarded as a crucial determinant of the product¿s functionality and quality. So far, traditional large-scale quality assessment techniques have been used in micromoulding. However, these techniques are not entirely suitable for small scales . Techniques such as Atomic Force Mi- croscopy (AFM) or White Light Interferometry (WLI) have been used fo

APA, Harvard, Vancouver, ISO, and other styles

21

李茂華. "Using Modified Collocation Trefftz Method for Direct and Inverse Problem of Biharmonic Equation in Multiply Connected Plane Domains." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/29452367206318916550.

Full text

Abstract:

碩士<br>國立臺灣海洋大學<br>機械與機電工程學系<br>97<br>To solve the direct and inverse Biharmonic Equation, we obtain the Biharmonic Equation series expansions by introducing the characteristic length to improve the stability and the accuracy, and then apply the collocation method to calculate the coefficient of the series. At last we can solve the Biharmonic equation. This method can be use in both simply connected domain and multiply connected domain. The shape of boundary is arbitrary. This method can also be used in both interior problem and exterior problem. This method has high accuracy and stability even

APA, Harvard, Vancouver, ISO, and other styles

22

Aiyappan, S. "Unfolding Operators in Various Oscillatory Domains : Homogenization of Optimal Control Problems." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/3696.

Full text

Abstract:

In this thesis, we study homogenization of optimal control problems in various oscillatory domains. Specifically, we consider four types of domains given in Figure 1 below. Figure 1: Oscillating Domains The thesis is organized into six chapters. Chapter 1 provides an introduction to our work and the rest of the thesis. The main contributions of the thesis are contained in Chapters 2-5. Chapter 6 presents the conclusions of the thesis and possible further directions. A brief description of our work (Chapters 2-5) follows: Chapter 2: Asymptotic behaviour of a fourth order boundary optimal con

APA, Harvard, Vancouver, ISO, and other styles

23

Aiyappan, S. "Unfolding Operators in Various Oscillatory Domains : Homogenization of Optimal Control Problems." Thesis, 2017. http://etd.iisc.ernet.in/2005/3696.

Full text

Abstract:

In this thesis, we study homogenization of optimal control problems in various oscillatory domains. Specifically, we consider four types of domains given in Figure 1 below. Figure 1: Oscillating Domains The thesis is organized into six chapters. Chapter 1 provides an introduction to our work and the rest of the thesis. The main contributions of the thesis are contained in Chapters 2-5. Chapter 6 presents the conclusions of the thesis and possible further directions. A brief description of our work (Chapters 2-5) follows: Chapter 2: Asymptotic behaviour of a fourth order boundary optimal con

APA, Harvard, Vancouver, ISO, and other styles

24

Ting-chun, Daniel, and 吳鼎鈞. "The Trefftz Method using Fundamental Solutions for Biharmonic Equations." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/bcu993.

Full text

Abstract:

碩士<br>國立中山大學<br>應用數學系研究所<br>96<br>In this thesis, the analysis of the method of fundamental solution(MFS) is expanded for biharmonic equations. The bounds of errors are derived for the traditional and the Almansi''s approaches in bounded simply-connected domains. The exponential and the polynomial convergence rates are obtained from highly and finite smooth solutions, respectively. Also the bounds of condition number are derived for the disk domains, to show the exponential growth rates. The analysis in this thesis is the first time to provide the rigor analysis of the CTM for biharmonic equat

APA, Harvard, Vancouver, ISO, and other styles

25

Chen, Guo. "Immersed interface method for biharmonic equations on irregular domain and its applications." 2003. http://www.lib.ncsu.edu/theses/available/etd-12292003-163221/unrestricted/etd.pdf.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Hangelbroek, Thomas. "Approximation by scattered translates of the fundamental solution of the biharmonic equations on bounded domains." 2007. http://www.library.wisc.edu/databases/connect/dissertations.html.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!