SIAMNUM
2011
13 years 3 months ago
2011
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...
SIAMNUM
2011
13 years 3 months ago
2011
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...
SIAMNUM
2011
13 years 7 months ago
2011
We present a method to approximate (in any space dimension) diffusion equations with schemes having a specific structure; this structure ensures that the discrete local maximum a...
SIAMNUM
2011
13 years 7 months ago
2011
Abstract. A finite volume scheme for transport and diffusion problems on evolving hypersurfaces is discussed. The underlying motion is assumed to be described by a fixed, not ne...
SIAMNUM
2011
13 years 7 months ago
2011
SIAMNUM
2011
13 years 7 months ago
2011
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...
SIAMNUM
2011
13 years 7 months ago
2011
The paper presents a generalization of Arnold-Falk-Winther elements for linear elasticity, to meshes with elements of variable order. The generalization is straightforward but the ...
SIAMNUM
2011
13 years 7 months ago
2011
We consider the methods xδ n+1 = xδ n − gαn (F (xδ n)∗F (xδ n))F (xδ n)∗(F (xδ n)− yδ) for solving nonlinear ill-posed inverse problems F (x) = y using the only ava...
SIAMNUM
2011
13 years 7 months ago
2011
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 ...
SIAMNUM
2011
13 years 7 months ago
2011
In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density and stretching of anisotropic meshes. But, such structures are only con...