Browsing by Author "Bespalov, Alexei"
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- ItemA new H(div)-conforming p-interpolation operator in two dimensions(2011) Bespalov, Alexei; Heuer, Norbert
- ItemConvergence of the natural HP-BEM for the electric field integral equation on polyhedral surfaces(2009) Bespalov, Alexei; Heuer, Norbert; Hiptmair, Ralf
- ItemNatural hp-BEM for the electric field integral equation with singular solutions(2012) Bespalov, Alexei; Heuer, Norbert
- ItemNatural p-BEM for the electric field integral equation on screens(2010) Bespalov, Alexei; Heuer, Norbert
- ItemOn the finite element method for elliptic problems with degenerate and singular coefficients(2007) Arroyo, Daniel; Bespalov, Alexei; Hehuer, Norbert
- ItemOptimal error estimation for H(curl)-conforming p-interpolation in two dimensions(2009) Bespalov, Alexei; Heuer, Norbert
- ItemThe hp-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces(2010) Bespalov, Alexei; Heuer, NorbertWe prove an a priori error estimate for the hp-version of the boundary element method with weakly singular operators in three dimensions. The underlying meshes are quasi-uniform. Our model problem is that of the Laplacian exterior to an open surface, where the solution has strong singularities that are not L-2-regular. Our results confirm previously conjectured convergence rates in h (the mesh size) and p (the polynomial degree) and these rates are given explicitly in terms of the exponents of the singular functions. In particular, for sufficiently smooth given data we prove a convergence in the energy norm like O(h(1/2)p(-1)).
- ItemThe hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: a priori error analysis(2010) Bespalov, Alexei; Heuer, Norbert
- ItemThe hp-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces(2010) Bespalov, Alexei; Heuer, Norbert
- ItemThe hp-version of the boundary element method with quasi-uniform meshes in three dimensions(2008) Bespalov, Alexei; Heuer, Norbert
- ItemThe p-version of the boundary element method for hypersingular operators on piecewise plane open surfaces(2005) Bespalov, Alexei; Heuer, Norbert
- ItemThe p-version of the boundary element method for weakly singular operators on piecewise plane open surfaces(2007) Bespalov, Alexei; Heuer, Norbert