6533b860fe1ef96bd12c38c2

RESEARCH PRODUCT

On the finite element approximation for maxwell’s problem in polynomial domains of the plane

Pekka NeittaanmäkiJ. Saranen

subject

PolynomialApproximation errorApplied MathematicsMathematical analysisBoundary (topology)Mixed finite element methodBoundary value problemBoundary knot methodAnalysisFinite element methodExtended finite element methodMathematics

description

The time-harmonic Maxwell boundary value problem in polygonal domains of R2 is considered. The behaviour of the solution in the neighbourhood of nonregular boundary points is given and asymptotic error estimates in L2- and in curl-div-norm for a finite element approximation of the solution are derived

https://doi.org/10.1080/00036818108839349