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7 papers · 2 filters
A Post-processing Technique for Streamline Upwind/Petrov-Galerkin for Advection Dominated Partial Differential Equations
Quanling Deng, Victor Ginting
We consider the construction of locally conservative fluxes by means of a simple post-processing technique obtained from the finite element solutions of advection diffusion equatio…
Adaptive Finite Element Solution of Multiscale PDE-ODE Systems
A. Johansson, J. H. Chaudry, V. Carey +4
We consider adaptive finite element methods for solving a multiscale system consisting of a macroscale model comprising a system of reaction-diffusion partial differential equation…
Condition number estimates for matrices arising in NURBS based isogeometric discretizations of elliptic partial differential equations
Krishan P. S. Gahalaut, Satyendra K. Tomar, Craig. C. Douglas
We derive bounds for the minimum and maximum eigenvalues and the spectral condition number of matrices for isogeometric discretizations of elliptic partial differential equations i…
On Multiscale Methods in Petrov-Galerkin formulation
Daniel Elfverson, Victor Ginting, Patrick Henning
In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomp…
Solitary waves and -particle algorithms for a class of Euler-Poincaré equations
Roberto Camassa, Dongyang Kuang, Long Lee
We study a class of partial differential equations (PDEs) in the family of the so-called Euler-Poincaré differential systems, with the aim of developing a foundation for numerical…
A FEAST Algorithm with oblique projection for generalized eigenvalue problems
Guojian Yin, Raymond H. Chan, Man-Chung Yeung
The contour-integral based eigensolvers are the recent efforts for computing the eigenvalues inside a given region in the complex plane. The best-known members are the Sakurai-Sugi…