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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… Expand
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Related topics

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Boundary particle methodCalculus of variationsFinite element methodList 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
A new space-time discontinuous Galerkin (dG) method utilizing special Trefftz polynomial basis functions is proposed and fully… Expand
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2009
2009
From the Boundary Element Domain Decomposition Methods to Local Trefftz Finite Element Methods on Polyhedral Meshes
We derive and analyze new boundary element (BE) based finite element discretizations of potential-type, Helmholtz and Maxwell… Expand
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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
In this paper, it is proved that the two approaches, known in the literature as the method of fundamental solutions (MFS) and the… Expand
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2007
2007
A Meshless Regularized Integral Equation Method for Laplace Equation in Arbitrary Interior or Exterior Plane Domains
Summary A new method is developed to solve the interior and exterior Dirichlet problems for the two-dimensional Laplace equation… Expand
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2003
2003
Trefftz methods for plane piezoelectricity
Starting from the governing equations, the general solution and the complete solution set for plane piezoelectricity are derived… Expand
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Highly Cited
2001
Highly Cited
2001
Programming the boundary element methods : an introduction for engineers
Preface. Acknowledgements. Preliminaries. Programming. Discretisation and Interpolation. Material Modelling and Fundamental… Expand
Highly Cited
2000
Highly Cited
2000
Trefftz Method: A General Theory
A precise definition of Trefftz method is proposed and, starting with it, a general theory is briefly explained. This leads to… Expand
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Highly Cited
1998
Highly Cited
1998
A wave based prediction technique for coupled vibro-acoustic analysis
A wave based prediction technique for coupled vibro-acoustic analysis has been developed. In contrast with the finite element… Expand
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1995
1995
The Trefftz method as an integral equation
Abstract The Trefftz method may be described in terms of an integral equation formulation based on eigenfunction expansions… Expand
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Highly Cited
1987
Highly Cited
1987
Trefftz method: Fitting boundary conditions
The paper presents various ways of fitting the boundary conditions in the T-complete functions method. The authors point out the… Expand
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