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AMC
2005
154views more  AMC 2005»
13 years 4 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...
CSC
2008
13 years 6 months ago
The Dirichlet problem for the Laplace equation in a starlike domain
Many applications of Mathematical Physics and Engineering are connected with the Laplacian, however, the most part of BVP relevant to the Laplacian are solved in explicit form onl...
Diego Caratelli, Paolo Emilio Ricci
SIAMCO
2010
169views more  SIAMCO 2010»
12 years 11 months ago
Shape Derivative of Drag Functional
Abstract. In the paper compressible, stationary Navier-Stokes (N-S) equations are considered. The model is well-posed, there exist weak solutions in bounded domains, subject to inh...
Pavel I. Plotnikov, Jan Sokolowski