Finite Element Exterior Calculus

Finite Element Exterior Calculus - How is Finite Element Exterior Calculus abbreviated.

Finite element exterior calculus. Finite Element Exterior Calculus FEEC. FINITE ELEMENT EXTERIOR CALCULUS 285 1 1 σ vdx 1 1 fvdx vL211. We then give a systematic analysis of lower-order terms in mixed methods by extending the Finite Element Exterior Calculus FEEC framework which.

As an application of these methods we will consider the linear. The exterior calculus notation provides a guide to which finite element spaces should be used for which physical variables and unifies a number of desirable properties. Cartan which is a fundamental tool in Differential Geometry and Topology.

More recently Holst and Stern arXiv10054455arXiv10106127 extended. 100 - 215pm EDT. A primal formulation in which the finite element spaces are defined on a single mesh and a primaldual formulation in which finite element spaces on a dual mesh are also used.

We will also introduce the Discontinuous Galerkin method and the concept of isogeometric analysis. We hybridize the methods of finite element exterior calculus for the Hodge-Laplace problem on differential k-forms in mathbbRn. In this paper we consider the extension of the finite element exterior calculus from elliptic problems in which the Hodge Laplacian is an appropriate model problem to parabolic problems for which we take the Hodge heat equation as our model problem.

Geometric Transformation of Finite Element Methods. This approach brings to bear tools from differential geometry algebraic topology and homological algebra to develop discretizations which are compatible with the. The numerical method we study is a Galerkin method based on a mixed variational.

11th Floor Lecture Hall. The aim of DEC is to solve partial differential equations preserving their geometrical and physical features as much as possible. FEEC - Finite Element Exterior Calculus.