The global element method applied to a harmonic mixed boundary value problem

Keywords

Singularity, Mathematics, Boundary element method, Boundary value problem, Mathematical analysis

References

• Finite element synthesis methodShi-tien Yang, A.F. Henry — 1976
• Synthesis of Three-Dimensional Flux Shapes Using Discontinuous Sets of Trial FunctionsJ.B. Yasinsky, S. Kaplan — 1967
• The numerical performance of variational methodsSolomon G. Mikhlin — 1971
• A Numerical Study of a Singular Elliptic Boundary Value ProblemDavid F. Griffiths — 1977
• An Implicit Matching Principle for Global Element CalculationsL. M. Delves, Charles A. Hall — 1979
• On the use of singular functions with finite element approximationsGeorge J. Fix, Surender Gulati, G.I Wakoff — 1973
• TREATMENT OF SINGULARITIES IN A HARMONIC MIXED BOUNDARY VALUE PROBLEM BY DUAL SERIES METHODSJ. R. Whiteman — 1968
• Singular Isoparametric Finite ElementsR. Wait — 1977
• Treatment of harmonic mixed boundary problems by conformal transformation methodsJ. R. Whiteman, N. Papamichael — 1972
• Mixed-hybrid finite element approximations of second-order elliptic boundary-value problemsIvo Babuška, J. Tinsley Oden, J.K. Lee — 1977
• The Global Element Method Applied to a Discontinuous Nuclear PotentialJ.A. Hendry, M. A. Hennell — 1978
• NUMERICAL SOLUTION OF A HARMONIC MIXED BOUNDARY-VALUE PROBLEM BY THE EXTENSION OF A DUAL SERIES METHODJ. R. Whiteman — 1970
• Finite element solution of boundary-value problems with non-removable singularitiesL. S. D. Morley — 1973
• Construction of curvilinear co-ordinate systems and applications to mesh generationWilliam J. Gordon, Charles A. Hall — 1973
• Variational Methods in Mathematical PhysicsSolomon G. Mikhlin, J. Gillis — 1965
• An Analysis of the Finite Element MethodE. I., Gilbert Strang, George J. Fix — 1974
• The treatment of singularities of partial differential equations by relaxation methodsH. Motz — 1947
• On the convergence rates of variational methods. I. Asymptotically diagonal systemsL. M. Delves, K. O. Mead — 1971
• On the convergence rates of variational methodsK. Mead, L. Delves — 1971

Cited by

• Numerical Methods for Accurate Finite Element Solutions of Elliptic Boundary Value Problems Containing SingularitiesHoonjoo Kim, Sungjin Lee, Hae‐Soo Oh — 2002
• The discrete method of separation of variables for composite material problemsHoude Han, Zhongyi Huang — 2001
• A meshless method with enriched basis functions for singularity problemsWon-Tak Hong — 2009
• Error estimates for numerical solutions of one- and two-dimensional integral equationsMichelle Claire Tenwick — 2012
• Chebyshev and Fourier Spectral MethodsJohn P. Boyd — 1989
• Discrete boundary conditions for problems with interfaceXiaonan Wu, Houde Han — 2001
• A Priori error analyses of a stabilized discontinuous Galerkin methodAlbert Romkes, Serge Prudhomme, J. Tinsley Oden — 2003
• Numerical methods and error analysis for one dimensional elliptic problems containing singularitiesHoonjoo Kim, Sung‐Jin Lee, Hae‐Soo Oh — 2003
• The calculation of singular coefficientsM W Kermode, A. McKerrell, L. M. Delves — 1985
• A DiscontinuoushpFinite Element Method for Diffusion ProblemsJ. Tinsley Oden, Ivo Babuška, Carlos Baumann — 1998
• Chebyshev expansion methods for the solution of elliptic partial differential equationsA Mc Kerrell, Chris Phillips, L. M. Delves — 1981
• Iterative solution of the global element equationsJ.A. Hendry, L. M. Delves, J. L. Mohamed — 1982
• Boundary singularities in the Laplace equation by enriched finite elementsPaul R. Heyliger — 1990
• The direct method of lines for the numerical solutions of interface problemHoude Han, Zhongyi Huang — 1999
• A discontinuous hp finite element method for convection—diffusion problemsCarlos Baumann, J. Tinsley Oden — 1999
• Hybrid finite-element analysis of Laplace's equation with singularitiesKuen Ting, Wen‐Hwa Chen — 1988
• The p -version of the finite element method for the elliptic boundary value problems with interfacesHae‐Soo Oh, Ivo Babuška — 1992
• Singularities and treatments of elliptic boundary value problemsZhenyang Li, Tzon‐Tzer Lu — 2000
• The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularitiesHae‐Soo Oh, Ivo Babu⩽ska — 1993
• A Fast Implementation of the Global Element MethodL. M. Delves, Chris Phillips — 1980

Related papers

• Treatment of singularities in time-dependent problems using the boundary element methodD. Lesnic, L. Elliott, D.B. Ingham — 1995
• Analysis of 3-D Frictional Contact Mechanics Problems by a Boundary Element MethodBangyong Keum, Yijun Liu — 2005
• Boundary element analysis using artificial boundary node approachIbrahim H. Guzelbey, Galip Tonuc — 2000
• The Solving Process Tactics to Elastoplastic Mechanical Problems by the Coupling of Boundary Element Method to Virtual Boundary Element MethodZneng Wen — 2000
• Analysis of 3-D Frictional Contact Mechanics Problems by a Boundary Element Method ＊KEUMBangyong, 刘轶军 — 2005
• Formulations of displacement discontinuity method for crack problems based on boundary element methodWei Zhou, Biao Liu, Qiao Wang — 2020
• APPLICATION OF THE BOUNDARY ELEMENT METHOD FOR ANALYZINGTHE DYNAMICS OF ANISOTROPIC ELASTIC BODIESЛ. А. Игумнов, Ivan Markov — 2014
• Boundary element analysis of contact problems using artificial boundary node approachBahattin Kanber, Ibrahim H. Guzelbey, Ahmet Erkliğ — 2003