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AMC
2005
154views more  AMC 2005»
13 years 7 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...
IMR
2007
Springer
14 years 1 months ago
CUBIT and Seismic Wave Propagation Based Upon the Spectral-Element Method: An Advanced Unstructured Mesher for Complex 3D Geolog
Unstructured hexahedral mesh generation is a critical part of the modeling process in the Spectral-Element Method (SEM). We present some examples of seismic wave propagation in co...
Emanuele Casarotti, Marco Stupazzini, Shiann Lee, ...
SIAMSC
2011
113views more  SIAMSC 2011»
13 years 1 months ago
An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson-Boltzmann-Based Molecular Electrostatics
In order to compute polarization energy of biomolecules, we describe a boundary element approach to solving the linearized Poisson–Boltzmann equation. Our approach combines sever...
Chandrajit L. Bajaj, Shun-Chuan Albert Chen, Alexa...

Publication
338views
12 years 5 months ago
A Reference Discretization Strategy for the Numerical Solution of 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
MOC
2002
101views more  MOC 2002»
13 years 7 months ago
On the stability of a family of finite element methods for hyperbolic problems
We consider a family of tensor product finite element methods for hyperbolic equations in RN , N 2, which are explicit and generate a continuous approximate solution. The base cas...
Gerard R. Richter