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Mafelap 2013 MAFELAP 2013 Conference on the Mathematics of Finite Elements and Applications 10{14 June 2013 Abstracts MAFELAP 2013 The organisers of MAFELAP 2013 are pleased to acknowledge the nancial support given to the conference by the Institute of Mathematics and its Applications (IMA) in the form of IMA Stu- dentships. Contents of the MAFELAP 2013 Abstracts Invited, parallel and mini-symposium order Invited talks Finite Element Methods in Coastal Ocean Modeling: Successes and Challenges Clint N Dawson ZIENKIEWICZ LECTURE . 53 Forty years of the Crouzeix-Raviart element Susanne C. Brenner BABUSKAˇ LECTURE . 27 Advances in reducing the mesh burden in computational mechanics applications to fracture and surgical simulation St´ephaneP.A. Bordas ..........................................................................25 Fields, control fields, and commuting diagrams in isogeometric analysis Annalisa Buffa, Giancarlo Sangalli and Rafael V´azquez ..........................................................................30 The inf-sup constant of the divergence Martin Costabel ..........................................................................49 Finite element methods for surface PDEs Charles M. Elliott ..........................................................................64 A stochastic collocation approach to PDE-constrained optimization for random data identification problems Max Gunzburger ..........................................................................98 Time Domain Integral Equations for Computational Electromagnetism Peter Monk ........................................................................180 The Emergence of Predictive Computational Science: Validation and Verification of Computational Models of Complex Physical Systems J. Tinsley Oden ........................................................................199 What is the Largest Finite Element System that can be Solved Today? Ulrich Ruede ........................................................................229 i Double complexes and local bounded cochain projections Ragnar Winther ........................................................................293 Talks in parallel sessions Convergence of hp-FEM in Three Dimensional Computation of Thermoelectric Effects Razi Abdul-Rahman and Sarah Kamaludin ..........................................................................1 Discontinuous Galerkin time stepping schemes combined with local projection stabi- lization methods applied to transient Stokes problems: stability and convergence Naveed Ahmed and Gunar Matthies ..........................................................................3 Anisotropic mesh adaptation for the Ambrosio-Tortorelli model: application to quasi- static crack propagation Marco Artina, Massimo Fonrasier, Simona Perotto and Stefano Micheletti ..........................................................................9 On the numerical simulation of well stability Philippe R B Devloo, Erick Raggio Slis Santos and Diogo Lira Cec´ılio .........................................................................58 Condensing the spectral element method for time domain wave problems Dugald B Duncan and Mark Payne .........................................................................62 Local mass conservation of Stokes finite elements Daniele Boffi, Nicola Cavallini, Francesca Gardini and Lucia Gastaldi .........................................................................83 Enriching a Hankel Basis by Ray Tracing in the Ultra Weak Variational Formulation C. J. Howarth, Simon Chandler-Wilde, Stephen Langdon and P.N. Childs. ........................................................................107 A posteriori error analysis for time-dependent Stokes equations Eberhard B¨ansch, Johan Jansson, Fotini Karakatsani and Charalambos Makri- dakis ........................................................................118 Non-Conforming Finite Element Methods for the Obstacle Problem Carsten Carstensen and Karoline K¨ohler ........................................................................128 Error estimates for nonlinear convective and singularly perturbed problems in finite element methods V´aclav Kuˇcera ........................................................................138 ii A uniform convergence analysis of three-step Taylor Galerkin finite element monotone iterative domain-decomposition scheme for singularly perturbed problems Vivek Sangwan and B. V. Rathish Kumar ........................................................................139 The Partition of Unity Method for the 3D elastic wave problems in the high frequency domain M. Mahmood, O. Laghrouche, A. El-Kacimi and J. Trevelyan ........................................................................159 On the numerical treatment of essential boundary conditions within positivity-preserving finite element methods for convection-dominated transport problems Matthias M¨oller ........................................................................178 Algebraic Flux Correction in a Partial Differential-Algebraic Framework Julia Niemeyer and Bernd Simeon ........................................................................196 A domain decomposition method with an optimized penalty parameter Chang-Ock Lee and Eun-Hee Park ........................................................................204 With a hierarchical error indicator toward anisotropic mesh refinement Ren´eSchneider ........................................................................240 Estimation of discretization and algebraic error via quasi-equilibrated fluxes for dis- continuous Galerkin methods V´ıtDolejˇs´ı,Ivana Sebestov´aˇ and Martin Vohral´ık ........................................................................247 Computational Aspects in Smooth Approximation of Data Karel Segeth ........................................................................248 Approximation of eddy currents in an axisymmetric unbounded domain Pilar Salgado and Virginia Selgas ........................................................................249 Verification of functional a posteriori error estimates for obstacle problem Petr Harasim and Jan Valdman ........................................................................273 iii Talks in Mini-Symposium A priori finite element error estimates in optimal control Boundary concentrated FEM for optimal control problems Sven Beuchler .........................................................................24 Error estimates for the velocity tracking problem using duality arguments Konstantinos Chrysafinos .........................................................................45 Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs Klaus Deckelnick and Michael Hinze .........................................................................54 Crank-Nicolson and St¨ormer-Verlet discretization schemes for optimal control problems with parabolic partial differential equations Thomas Apel and Thomas G. Flaig .........................................................................74 A priori error estimates for parabolic optimal control problems with point controls Dmitriy Leykekhman and Boris Vexler ........................................................................146 Error estimates for Dirichlet control problems in polygonal domains Thomas Apel, Mariano Mateos, Johannes Pfefferer and Arnd R¨osch ........................................................................167 Optimal error estimates for finite element discretization of elliptic optimal control prob- lems with finitely many pointwise state constraints Dmitriy Leykekhman, Dominik Meidner and Boris Vexler ........................................................................172 An interior penalty method for distributed optimal control problems governed by the biharmonic operator Thirupathi Gudi, Neela Nataraj and Veeranjaneyulu Sadhanala ........................................................................188 On discretized nonconvex elliptic optimal control problems with pointwise state con- straints Ira Neitzel, Johannes Pfefferer and Arnd R¨osch ........................................................................193 A priori error estimates for finite element methods for H(2;1)-elliptic equations Thomas Apel, Thomas G. Flaig and Serge Nicaise ........................................................................195 iv Verification of optimality conditions and discretization error estimates Martin Naß and Arnd R¨osch ........................................................................229 Optimal boundary control problems in energy spaces Olaf Steinbach ........................................................................261 Finite element methods for fourth order variational inequalities arising from elliptic optimal control problems Li-yeng Sung ........................................................................263 Sparse Elliptic Control Problems in Measure Spaces: Regularity and FEM Discretiza- tion Konstantin Pieper and Boris Vexler ........................................................................284 Optimal Control of Biharmonic Operator Stefan Frei, Rolf Rannacher and Winnifried Wollner ........................................................................293 Analysis and applications of boundary element methods The BEM++ boundary element library and applications S.R. Arridge, T. Betcke, M. Schweiger and W. Smigaj´ .........................................................................24
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