Advanced Finite Element Methods with Applications : Selected Papers from the 30th Chemnitz Finite Element Symposium 2017 1 Superconvergent Graded Meshes for an Elliptic Dirichlet Control Problem 2 Explicit and Implicit Reconstructions of the Potential in Dual Mixed hp Finite Element Methods 3 Two Stabilized Three Field Formulations for the Biharmonic Problem 4 Analysis of the hp Version of a First Order system least squares method for the Helmholtz equation 5 Numerical Study of Goal Oriented Error Control for Stabilized Finite Element Methods 6 Uniform Exponential Stability of Galerkin Approximations for a Damped Wave System 7 Adaptive Algorithm Based on Functional Type A Posteriori Error Estimate for Reissner Mindlin Plates 8 Wavelet Boundary Element Methods — Adaptivity and Goal Oriented Error Estimation 9 Comparison Analysis of Two Numerical Methods for Fractional Diffusion Problems Based on the Best Rational Approximations of t\\gamma on [0;1] 10 A Three Level Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions 11 A Parallel Multigrid Solver for Multi Patch Isogeometric Analysis 12 On a Renewed Approach to A Posteriori Error Bounds for Approximate Solutions of Reaction Diffusion Equations 13 Space Time Finite Element Methods for Parabolic Evolution Problems with Variable Coefficients 14 ACA Improvement by Surface Segmentation 15 First Order Error Correction for Trimmed Quadrature in Isogeometric Analysis 16 A Space–Time Finite Element Method for the Linear Bidomain Equations 17 A Stabilized Space–Time Finite Element Method for the Wave Equation 18 An Optimal Order CG DG Space Time Discretization Method for Parabolic Problems 19 A Framework for Efficient Hierarchic Plate and Shell Elements Finite element methods are the most popular methods for solving partial differential equations numerically and despite having a history of more than 50 years there is still active research on their analysis application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium which itself has a 40 year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods like space time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics it offers readers insights into the latest results