Spectral and High Order Methods for Partial Differential Equations [electronic resource] : Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway /
International Conference on Spectral and High Order Methods(2009 :Trondheim, Norway)
Hesthaven, Jan S.editor.
Rønquist, Einar M.editor.
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2009), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.
Description based upon print version of record.
""Spectral and High Order Methods for Partial Different Equations""; ""Foreword""; ""Contents""; ""hp-FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation""; ""On Multivariate Chebyshev Polynomials and Spectral Approximations on Triangles""; ""Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison""; ""Hybridizable Discontinuous Galerkin Methods""; ""Multivariate Modified Fourier Expansions""; ""Constraint Oriented Spectral Element Method""
""Convergence Rates of Sparse Tensor GPC FEM for Elliptic sPDEs""""A Conservative Spectral Element Method for Curvilinear Domains""; ""An Efficient Control Variate Method for Parametrized Expectations""; ""A Proof, Based on the Euler Sum Acceleration, of the Recovery of an Exponential (Geometric) Rate of Convergence for the Fourier Series of a Function with Gibbs Phenomenon""; ""A Seamless Reduced Basis Element Method for 2D Maxwell's Problem: An Introduction""; ""An hp-Nitsche's Method for Interface Problems with Nonconforming Unstructured Finite Element Meshes""
""Hybrid Explicitâ€?Implicit Time Integration for Grid-Induced Stiffness in a DGTD Method for Time Domain Electromagnetics""""High-Order Quasi-Uniform Approximation on the Sphere Using Fourier-Finite-Elements""; ""An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations""; ""Highly Accurate Discretization of the Navierâ€?Stokes Equations in Streamfunction Formulation""; ""Edge Functions for Spectral Element Methods""; ""Modeling Effects of Electromagnetic Waves on Thin Wires with a High-Order Discontinuous Galerkin Method""
""A Hybrid Method for the Resolution of the Gibbs Phenomenon""""Numerical Simulation of Fluidâ€?Structure Interaction in Human Phonation: Verification of Structure Part""; ""A New Spectral Method on Triangles""; ""The Reduced Basis Element Method: Offline-Online Decomposition in the Nonconforming, Nonaffine Case""; ""The Challenges of High Order Methods in Numerical Weather Prediction""; ""GMRES for Oscillatory Matrix-Valued Differential Equations""; ""Sensitivity Analysis of Heat Exchangers Using Perturbative Methods""
""Spectral Element Approximation of the Hodge- Operator in Curved Elements""""Uncertainty Propagation for Systems of Conservation Laws, High Order Stochastic Spectral Methods""; ""Reduced Basis Approximation for Shape Optimization in Thermal Flows with a Parametrized Polynomial Geometric Map""; ""Constrained Approximation in hp-FEM: Unsymmetric Subdivisions and Multi-Level Hanging Nodes""; ""High Order Filter Methods for Wide Range of Compressible Flow Speeds""; ""hp-Adaptive CEM in Practical Applications""; ""Anchor Points Matter in ANOVA Decomposition""
""An Explicit Discontinuous Galerkin Scheme with Divergence Cleaning for Magnetohydrodynamics""
Includes bibliographical references.
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2009), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.
Computer mathematics.
Physics.
Fluid mechanics.
Computational Mathematics and Numerical Analysis.
Computational Science and Engineering.
Numerical and Computational Physics, Simulation.
Engineering Fluid Dynamics.
Lecture Notes in Computational Science and Engineering