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» A finite difference method for free boundary problems
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115
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JCAM
2010
139views more  JCAM 2010»
14 years 5 months ago
A finite difference method for free boundary problems
Fornberg and Meyer-Spasche proposed some time ago a simple strategy to correct finite difference schemes in the presence of a free boundary that cuts across a Cartesian grid. We sh...
Bengt Fornberg
170
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Publication
519views
13 years 9 months ago
The Finite Volume, Finite Difference, and Finite Elements Methods as Numerical Methods for Physical Field Problems
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
173
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AMC
2004
139views more  AMC 2004»
14 years 10 months ago
Asymptotic analysis of finite difference methods
With this article, we want to advocate the use of asymptotic methods for the analysis of finite difference schemes. We present several examples to demonstrate the applicability of...
Michael Junk, Zhaoxia Yang
AMC
2005
154views more  AMC 2005»
14 years 10 months ago
Solving Laplacian problems with boundary singularities: a comparison of a singular function boundary integral method with the p/
We solve a Laplacian problem over an L-shaped domain using a singular function boundary integral method as well as the p/hp finite element method. In the former method, the soluti...
Miltiades Elliotis, Georgios Georgiou, Christos Xe...
91
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CAGD
2004
168views more  CAGD 2004»
14 years 10 months ago
A finite element method for surface restoration with smooth boundary conditions
In surface restoration usually a damaged region of a surface has to be replaced by a surface patch which restores the region in a suitable way. In particular one aims for C1-conti...
Ulrich Clarenz, Udo Diewald, G. Dziuk, Martin Rump...