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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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Papers overview

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2013
2013
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
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
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
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
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
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
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
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
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
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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