This paper presents an a priori error analysis of the hp-version of the boundary element method for the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. We use H(div)-conforming discretisations with Raviart-Thomas elements on a sequence of quasi-uniform meshes of triangles and/or parallelograms. Assuming the regularity of the solution to the electric fie...

It is still an open problem to prove a priori error estimates for finite volume schemes of higher order MUSCL type, including limiters, on unstructured meshes, which show some improvement compared to first order schemes. In this paper we use these higher order schemes for the discretization of convection dominated elliptic problems in a convex bounded domain Ω in IR2 and we can prove such kind ...

ERROR ESTIMATES OF A FIRST-ORDER LAGRANGE FINITE ELEMENT TECHNIQUE FOR NONLINEAR SCALAR CONSERVATION EQUATIONS∗ JEAN-LUC GUERMOND† AND BOJAN POPOV† Abstract. This paper establishes a O(h 1 4 ) error estimate in the L∞t (Lx)-norm for the approximation of scalar conservation equations using an explicit continuous finite element technique. A general a priori error estimate based on entropy inequal...

the a priori is the basic characteristic ofkant's theory of knowledge. formaliz/ng the a priori, kant appears to distinguish the a priorifrom the postriori and qffirms its purity. he insists that the a priori is prior to the a postriori and stqys independent!jfrom it. the overall objectiue of this paper is, boueier; to present and to support this idea that the a priori, even prior, can be ...