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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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Boundary particle methodCalculus of variationsFinite element methodList of numerical analysis topics
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Papers overview

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2013
2013
A Trefftz method in space and time using exponential basis functions: Application to direct and inverse heat conduction problems
Abstract In this paper we present a Trefftz method based on using exponential basis functions (EBFs) to solve one (1D) and two… Expand
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2011
2011
Study on connections of the MFS, Trefftz method, indirect BIEM and invariant MFS in the three-dimensional Laplace problems containing spherical boundaries
Following the success of a study on the method of fundamental solutions using an image concept [13], we extend to solve the three… 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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Highly Cited
2004
Highly Cited
2004
Trefftz Methods for Time Dependent Partial Differential Equations
PCT No. PCT/US92/10698 Sec. 371 Date Jun. 15, 1994 Sec. 102(e) Date Jun. 15, 1994 PCT Filed Dec. 16, 1992 PCT Pub. No. WO93/12107… 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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2002
2002
Solution Of Poisson Equation By Trefftz Method
This paper describes the application of the Trefftz method to the solution of the boundary value problems of the two-dimensional… Expand
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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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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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1987
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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