Select Publications

Journal articles

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. -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

Conference Papers

Feischl M;Gantner G;Praetorius D, 2014, 'A posteriori error estimation for adaptive IGA boundary element methods', in 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, pp. 2421 - 2432

Carstensen C;Feischl M;Praetorius D, 2014, 'Rate optimality of adaptive algorithms: An axiomatic approach', in 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, pp. 2511 - 2522

Feischl M;Fuhrer T;Praetorius D;Stephan EP, 2014, 'Optimal preconditioning for the coupling of adaptive finite and boundary elements', in 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, pp. 2108 - 2119

Aurada M;Feischl M;Führer T;Karkulik M;Melenk JM;Praetorius D, 2013, 'Classical FEM-BEM coupling methods: Nonlinearities, well-posedness, and adaptivity', in Computational Mechanics, pp. 399 - 419, http://dx.doi.org/10.1007/s00466-012-0779-6


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