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SIAMNUM
2011
92views more  SIAMNUM 2011»
12 years 8 months ago
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side
The Green function of the Poisson equation in two dimensions is not contained in the Sobolev space H1(Ω) such that finite element error estimates for the discretization of a prob...
Thomas Apel, Olaf Benedix, Dieter Sirch, Boris Vex...
SIAMNUM
2011
252views more  SIAMNUM 2011»
13 years 12 days ago
Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations
We develop and analyze least-squares finite element methods for two complementary div-curl elliptic boundary value problems. The first one prescribes the tangential component of ...
Pavel B. Bochev, Kara Peterson, Christopher M. Sie...
SIAMNUM
2011
108views more  SIAMNUM 2011»
13 years 12 days ago
A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations
We introduce a new mixed method for the biharmonic problem. The method is based on a formulation where the biharmonic problem is re-written as a system of four first-order equatio...
Edwin M. Behrens, Johnny Guzmán
SIAMNUM
2011
102views more  SIAMNUM 2011»
12 years 8 months ago
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking
Abstract. When studying the ε-pseudospectrum of a matrix, one is often interested in computing the extremal points having maximum real part or modulus. This is a crucial step, for...
Nicola Guglielmi, Christian Lubich
SIAMNUM
2011
328views more  SIAMNUM 2011»
13 years 12 days ago
First-Order System Least Squares for Coupled Stokes-Darcy Flow
The coupled problem with Stokes flow in one subdomain and a Darcy flow model in a second subdomain is studied in this paper. Both flow problems are treated as first-order syste...
Steffen Münzenmaier, Gerhard Starke