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Trefftz method
In mathematics, the Trefftz method is a method for the numerical solution of partial differential equations named after the German mathematician…
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Related topics
Related topics
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Boundary particle method
Calculus of variations
Finite element method
List of numerical analysis topics
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation
L. Banjai
,
E. Georgoulis
,
Oluwaseun Lijoka
SIAM J. Numer. Anal.
2017
Corpus ID: 27614092
A new space-time discontinuous Galerkin (dG) method utilizing special Trefftz polynomial basis functions is proposed and fully…
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2009
2009
From the Boundary Element Domain Decomposition Methods to Local Trefftz Finite Element Methods on Polyhedral Meshes
D. Copeland
,
U. Langer
,
D. Pusch
2009
Corpus ID: 56282750
We derive and analyze new boundary element (BE) based finite element discretizations of potential-type, Helmholtz and Maxwell…
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Highly Cited
2007
Highly Cited
2007
On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations
J. Chen
,
C. Wu
,
Y. Lee
,
K. Chen
Comput. Math. Appl.
2007
Corpus ID: 16829810
In this paper, it is proved that the two approaches, known in the literature as the method of fundamental solutions (MFS) and the…
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2007
2007
A Meshless Regularized Integral Equation Method for Laplace Equation in Arbitrary Interior or Exterior Plane Domains
C. Liu
2007
Corpus ID: 59469692
Summary A new method is developed to solve the interior and exterior Dirichlet problems for the two-dimensional Laplace equation…
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2003
2003
Trefftz methods for plane piezoelectricity
K. Y. Sze
,
W. Jin
,
N. Sheng
,
J. Li
2003
Corpus ID: 118677694
Starting from the governing equations, the general solution and the complete solution set for plane piezoelectricity are derived…
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Highly Cited
2001
Highly Cited
2001
Programming the boundary element methods : an introduction for engineers
G. Beer
2001
Corpus ID: 60569173
Preface. Acknowledgements. Preliminaries. Programming. Discretisation and Interpolation. Material Modelling and Fundamental…
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Highly Cited
2000
Highly Cited
2000
Trefftz Method: A General Theory
I. Herrera
2000
Corpus ID: 53603772
A precise definition of Trefftz method is proposed and, starting with it, a general theory is briefly explained. This leads to…
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Highly Cited
1998
Highly Cited
1998
A wave based prediction technique for coupled vibro-acoustic analysis
W. Desmet
1998
Corpus ID: 14774988
A wave based prediction technique for coupled vibro-acoustic analysis has been developed. In contrast with the finite element…
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1995
1995
The Trefftz method as an integral equation
S. C. Huang
,
R. P. Shaw
1995
Corpus ID: 54782299
Abstract The Trefftz method may be described in terms of an integral equation formulation based on eigenfunction expansions…
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Highly Cited
1987
Highly Cited
1987
Trefftz method: Fitting boundary conditions
A. Zieliński
,
I. Herrera
1987
Corpus ID: 53631676
The paper presents various ways of fitting the boundary conditions in the T-complete functions method. The authors point out the…
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