Select Publications

Journal articles

Feischl M;Tran T, 2017, 'The eddy current-LLG equations: Fem-Bem coupling and a priori error estimates', SIAM Journal on Numerical Analysis, vol. 55, pp. 1786 - 1819, http://dx.doi.org/10.1137/16M1065161

Aurada M;Feischl M;Führer T;Karkulik M;Melenk JM;Praetorius D, 2017, 'Local inverse estimates for non-local boundary integral operators', Mathematics of Computation, vol. 86, pp. 2651 - 2686, http://dx.doi.org/10.1090/mcom/3175

Feischl M;Gantner G;Haberl A;Praetorius D, 2017, 'Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations', Numerische Mathematik, vol. 136, pp. 147 - 182, http://dx.doi.org/10.1007/s00211-016-0836-8

Feischl M;Führer T;Praetorius D;Stephan EP, 2017, 'Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations', Calcolo, vol. 54, pp. 367 - 399, http://dx.doi.org/10.1007/s10092-016-0190-3

Feischl M;Führer T;Praetorius D;Stephan EP, 2017, 'Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements', Numerical Methods for Partial Differential Equations, vol. 33, pp. 603 - 632, http://dx.doi.org/10.1002/num.22025

Feischl M;Führer T;Niederer M;Strommer S;Steinboeck A;Praetorius D, 2016, 'Efficient numerical computation of direct exchange areas in thermal radiation analysis', Numerical Heat Transfer, Part B: Fundamentals, vol. 69, pp. 511 - 533, http://dx.doi.org/10.1080/10407790.2016.1173469

Feischl M;Praetorius D;Van Der Zee KG, 2016, 'An abstract analysis of optimal goal-oriented adaptivity', SIAM Journal on Numerical Analysis, vol. 54, pp. 1423 - 1448, http://dx.doi.org/10.1137/15M1021982

Feischl M;Gantner G;Haberl A;Praetorius D;Führer T, 2016, 'Adaptive boundary element methods for optimal convergence of point errors', Numerische Mathematik, vol. 132, pp. 541 - 567, http://dx.doi.org/10.1007/s00211-015-0727-4

Feischl M;Gantner G;Haberl A;Praetorius D, 2016, 'Adaptive 2D IGA boundary element methods', Engineering Analysis with Boundary Elements, vol. 62, pp. 141 - 153, http://dx.doi.org/10.1016/j.enganabound.2015.10.003

Feischl M;Führer T;Karkulik M;Praetorius D, 2015, 'Stability of symmetric and nonsymmetric FEM–BEM couplings for nonlinear elasticity problems', Numerische Mathematik, vol. 130, pp. 199 - 223, http://dx.doi.org/10.1007/s00211-014-0662-9

Feischl M;Führer T;Karkulik M;Melenk JM;Praetorius D, 2015, 'Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. Part II: Hyper-singular integral equation', Electronic Transactions on Numerical Analysis, vol. 44, pp. 153 - 176

Feischl M;Gantner G;Praetorius D, 2015, 'Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations', Computer Methods in Applied Mechanics and Engineering, vol. 290, pp. 362 - 386, http://dx.doi.org/10.1016/j.cma.2015.03.013

Feischl M;Führer T;Heuer N;Karkulik M;Praetorius D, 2015, 'Adaptive Boundary Element Methods: A Posteriori Error Estimators, Adaptivity, Convergence, and Implementation', Archives of Computational Methods in Engineering, vol. 22, pp. 309 - 389, http://dx.doi.org/10.1007/s11831-014-9114-z

Feischl M;Gantner G;Haberl A;Praetorius D;Führer T, 2015, 'Adaptive boundary element methods for optimal convergence of point errors', Numerische Mathematik, http://dx.doi.org/10.1007/s00211-015-0727-4

Aurada M;Feischl M;Führer T;Karkulik M;Praetorius D, 2015, 'Energy norm based error estimators for adaptive BEM for hypersingular integral equations', Applied Numerical Mathematics, vol. 95, pp. 15 - 35, http://dx.doi.org/10.1016/j.apnum.2013.12.004

Aurada M;Ebner M;Feischl M;Ferraz-Leite S;Führer T;Goldenits P;Karkulik M;Mayr M;Praetorius D, 2014, 'HILBERT — a MATLAB implementation of adaptive 2D-BEM: HILBERT Is a Lovely Boundary Element Research Tool', Numerical Algorithms, vol. 67, pp. 1 - 32, http://dx.doi.org/10.1007/s11075-013-9771-2

Feischl M;Page M;Praetorius D, 2014, 'Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data', Journal of Computational and Applied Mathematics, vol. 255, pp. 481 - 501, http://dx.doi.org/10.1016/j.cam.2013.06.009

Feischl M;Page M;Praetorius D, 2014, 'Convergence of adaptive FEM for some elliptic obstacle problem with inhomogeneous Dirichlet data', International Journal of Numerical Analysis and Modeling, vol. 11, pp. 230 - 254

Feischl M;Führer T;Karkulik M;Praetorius D, 2014, 'ZZ-Type a posteriori error estimators for adaptive boundary element methods on a curve', Engineering Analysis with Boundary Elements, vol. 38, pp. 49 - 60, http://dx.doi.org/10.1016/j.enganabound.2013.10.008

Carstensen C;Feischl M;Page M;Praetorius D, 2014, 'Axioms of adaptivity', Computers and Mathematics with Applications, vol. 67, pp. 1195 - 1253, http://dx.doi.org/10.1016/j.camwa.2013.12.003

Feischl M;Führer T;Praetorius D, 2014, 'Adaptive FEM with optimal convergence rates for a certain class of nonsymmetric and possibly nonlinear problems', SIAM Journal on Numerical Analysis, vol. 52, pp. 601 - 625, http://dx.doi.org/10.1137/120897225

Feischl M;Führer T;Karkulik M;Praetorius D, 2014, 'Stability of symmetric and nonsymmetric FEM–BEM couplings for nonlinear elasticity problems', Numerische Mathematik, http://dx.doi.org/10.1007/s00211-014-0662-9

Feischl M;Führer T;Mitscha-Eibl G;Praetorius D;Stephan EP, 2014, 'Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without h-weighting factor', Computational Methods in Applied Mathematics, vol. 14, pp. 485 - 508, http://dx.doi.org/10.1515/cmam-2014-0019

Bruckner F;Suess D;Feischl M;Führer T;Goldenits P;Page M;Praetorius D;Ruggeri M, 2014, 'Multiscale modeling in micromagnetics: Existence of solutions and numerical integration', Mathematical Models and Methods in Applied Sciences, vol. 24, pp. 2627 - 2662, http://dx.doi.org/10.1142/S0218202514500328

Aurada M;Feischl M;Kemetmüller J;Page M;Praetorius D, 2013, 'Each H1/2-stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in ℝd', ESAIM: Mathematical Modelling and Numerical Analysis, vol. 47, pp. 1207 - 1235, http://dx.doi.org/10.1051/m2an/2013069

Feischl M;Karkulik M;Melenk JM;Praetorius D, 2013, 'Quasi-optimal convergence rate for an adaptive boundary element method', SIAM Journal on Numerical Analysis, vol. 51, pp. 1327 - 1348, http://dx.doi.org/10.1137/110842569

Aurada M;Feischl M;Führer T;Karkulik M;Praetorius D, 2013, 'Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods', Computational Methods in Applied Mathematics, vol. 13, pp. 305 - 332, http://dx.doi.org/10.1515/cmam-2013-0010

Bruckner F;Vogler C;Bergmair B;Huber T;Fuger M;Suess D;Feischl M;Fuehrer T;Page M;Praetorius D, 2013, 'Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations', Journal of Magnetism and Magnetic Materials, vol. 343, pp. 163 - 168, http://dx.doi.org/10.1016/j.jmmm.2013.04.085

Feischl M;Führer T;Karkulik M;Melenk JM;Praetorius D, 2013, 'Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation', Calcolo, vol. 51, pp. 531 - 562, http://dx.doi.org/10.1007/s10092-013-0100-x

Aurada M;Feischl M;Karkulik M;Praetorius D, 2012, 'A posteriori error estimates for the JohnsonNédélec FEMBEM coupling', Engineering Analysis with Boundary Elements, vol. 36, pp. 255 - 266, http://dx.doi.org/10.1016/j.enganabound.2011.07.017

Bruckner F;Vogler C;Feischl M;Praetorius D;Bergmair B;Huber T;Fuger M;Suess D, 2012, '3D FEM-BEM-coupling method to solve magnetostatic Maxwell equations', Journal of Magnetism and Magnetic Materials, vol. 324, pp. 1862 - 1866, http://dx.doi.org/10.1016/j.jmmm.2012.01.016

Aurada M;Feischl M;Praetorius D, 2012, 'Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems', ESAIM: Mathematical Modelling and Numerical Analysis, vol. 46, pp. 1147 - 1173, http://dx.doi.org/10.1051/m2an/2011075


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