Scalable adaptive mantle convection simulation on petascale supercomputers
Proceedings of the 2008 ACM/IEEE conference on Supercomputing
Reutilization of Partial LU Factorizations for Self-adaptive hp Finite Element Method Solver
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part I
Graph Transformations for Modeling hp-Adaptive Finite Element Method with Triangular Elements
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part III
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part III
Effective stretching strategies for paraxial lightwave propagation simulations
Computers and Structures
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
Handling Ambiguous Inverse Problems by the Adaptive Genetic Strategy hp---HGS
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma
Journal of Scientific Computing
Solving inverse problems by the multi-deme hierarchic genetic strategy
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
Higher-order Finite Elements for Hybrid Meshes Using New Nodal Pyramidal Elements
Journal of Scientific Computing
An interface between an hp-adaptive finite element package and the pre- and post-processor GiD
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
Graph transformations for modeling parallel hp-adaptive finite element method
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
A review of some a posteriori error estimates for adaptive finite element methods
Mathematics and Computers in Simulation
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I
Proceedings of the 2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis
Journal of Computational Physics
SIAM Journal on Numerical Analysis
Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
Journal of Computational Physics
HiFlow3: a flexible and hardware-aware parallel finite element package
Proceedings of the 9th Workshop on Parallel/High-Performance Object-Oriented Scientific Computing
Journal of Computational Physics
SIAM Journal on Numerical Analysis
A fast direct solver for elliptic problems on general meshes in 2D
Journal of Computational Physics
Journal of Computational Physics
Boundary concentrated finite elements for optimal boundary control problems of elliptic PDEs
Computational Optimization and Applications
Applied Numerical Mathematics
Solving metamaterial Maxwell's equations via a vector wave integro-differential equation
Computers & Mathematics with Applications
A comparison of a posteriori error estimates for biharmonic problems solved by the FEM
Journal of Computational and Applied Mathematics
Overlapping solution finite element method - Higher order approximation and implementation
Applied Numerical Mathematics
A Graph Grammar Model of the hp Adaptive Three Dimensional Finite Element Method. Part I
Fundamenta Informaticae
A Graph Grammar Model of the hp Adaptive Three Dimensional Finite Element Method. Part II
Fundamenta Informaticae
High-order optimal edge elements for pyramids, prisms and hexahedra
Journal of Computational Physics
Numerical Study of the Plasma-Lorentz Model in Metamaterials
Journal of Scientific Computing
Parametric finite elements, exact sequences and perfectly matched layers
Computational Mechanics
ACA accelerated high order BEM for Maxwell problems
Computational Mechanics
Numerical simulations of cloaking problems using a DPG method
Computational Mechanics
An adaptive edge finite element method for electromagnetic cloaking simulation
Journal of Computational Physics
Computers & Mathematics with Applications
Vectorized OpenCL implementation of numerical integration for higher order finite elements
Computers & Mathematics with Applications
Back-propagating modes in elastic logging-while-drilling collars and their effect on PML stability
Computers & Mathematics with Applications
General DG-Methods for Highly Indefinite Helmholtz Problems
Journal of Scientific Computing
A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices
Journal of Computational Physics
An hp-fem framework for the simulation of electrostrictive and magnetostrictive materials
Computers and Structures
Numerical integration on GPUs for higher order finite elements
Computers & Mathematics with Applications
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With a focus on 1D and 2D problems, the first volume of Computing with hp-Adaptive Finite Elements prepared readers for the concepts and logic governing 3D code and implementation. Taking the next step in hp technology, Volume II Frontiers: Three-Dimensional Elliptic and Maxwell Problems with Applications presents the theoretical foundations of the 3D hp algorithm and provides numerical results using the 3Dhp code developed by the authors and their colleagues. The first part of the book focuses on fundamentals of the 3D theory of hp methods as well as issues that arise when the code is implemented. After a review of boundary-value problems, the book examines exact hp sequences, projection-based interpolation, and De Rham diagrams. It also presentsthe 3D version of the automatic hp-adaptivity package, a two-grid solver for highly anisotropic hp meshes and goal-oriented Krylov iterations, and a parallel implementation of the 3D code. The second part explores several recent projects in which the 3Dhp code was used and illustrates how these applications have greatly driven the development of 3D hp technology. It encompasses acoustic and electromagnetic (EM) scattering problems, an analysis of complex structures with thin-walled components, and challenging simulations of logging tools. The book concludes with a look at the future of hp methods. Spearheaded by a key developer of this technology with more than 20 years of research in the field, this self-contained, comprehensive resource will help readers overcome the difficulties in coding hp-adaptive elements.