SIAMNUM

2011

13 years 29 days 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 29 days 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 4 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 5 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 5 months ago
2011

SIAMNUM

2011

13 years 5 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 5 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 5 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 5 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 5 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...