Mesh Adaptation for Time-Dependent Problems
hp-mesh adaptation for 1-D multigroup neutron diffusion problems
... using mesh refinement techniques with the neutron diffusion approximation rather than with the neutron transport equation may be arguably questionable when the mesh sizes become ...investigating mesh ...
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Anisotropic Mesh Adaptation for the Finite Element Solution of Anisotropic Diffusion Problems
... where B K is defined in (3.10). It is remarked that the metric tensor (3.16) (cf. (3.10)) depends on the second deriva- tives of the exact solution u which is what we are seeking/approximating. In actual computation, ...
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Stochastic domain decomposition for time dependent adaptive mesh generation
... current mesh and physical solution to update the mesh alone, this new mesh then facilitates the computation of the updated physical ...a time lag in the mesh as the new mesh is ...
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Time–mesh Refinement in Optimal Control Problems for Nonholonomic Vehicles
... the time interval, since the local errors are greater than the specified threshold, coinciding with the subintervals where the constraint for the curvature becomes ...smallest time step, the number of ...
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Transparent Boundary Conditions for Time-Dependent Problems
... Figures 4.6 and 4.7 show the relative l 2 -error versus the number of coefficients N ξ . The former shows the maximum error over all outputs for finite elements of order one to six, a three times refined mesh and ...
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Parallel preconditioning for time-dependent PDE problems
... For self-adjoint problems/symmetric matrices, iterative methods of choice exist: conjugate gradients for SPD, MINRES otherwise.. but many possible methods for non-self-adjoint.[r] ...
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Geometry Modeling for Unstructured Mesh Adaptation
... narrow regions, cusps, incorrect edge orientation, intersecting edges, voids, excessive detail, or inconvenient topology [9, 13]. Taylor [13] made the following observations based on a survey of GMGW-1 participants, Of ...
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Adaptation of the weighted Kaplan-Meier method to time-dependent ROC curves
... Time-dependent ROC curves provide information about the time interval in which a diagnostic test or marker is most reliable and how reliable it is within that time interval. They also ...
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Finite Difference Methods for Time-Dependent Wave Propagation Problems
... new problems, which saves a lot of work in the long ...for problems on com- plex geometries but may be challenging to implement ...for problems with highly complex geome- tries. For problems ...
Computing time dependent travel times in vehicle routing problems
... All OD-pairs in a test set have characteristics like path length and geographical location. The CH-algorithm we developed is a TD-SP algorithm that uses multiple overlay levels to store precomputed congestion factors. ...
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Data-driven reduced order modeling for time-dependent problems
... 4. Numerical examples In this section, numerical results of three time-dependent or pseudo-time-dependent examples are pre- sented. The first one is a simple problem of 1-D Burgers’ equation ...
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Efficient Move Evaluations for Time-Dependent Vehicle Routing Problems
... most time consuming part of such methods is typically the evaluation of all the moves in a ...full time-consuming exact feasibilty or cost ...include time window violation checks using bounds on ...
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Applications of Alternating Direction Solver for simulations of time-dependent problems
... 5. Conclusion and future work In this paper, we described an Alternating Direction algorithm, explored its com- plexity, and presented its application to a three-dimensional, non-stationary, linear elasticity problem ...
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A priori error-based mesh adaptation in CFD
... 9 Mesh-adaptive third-order accurate calculation of a scramjet flow, Mach contours, global view, and zoom around the bottom leading edge (improved ...spatial mesh adaptation: for each time ...
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Flow Feature Aligned Mesh Generation and Adaptation
... initial mesh provides extremely poor resolution of the trailing shear layers and vortex when visualising slices of different flow variables at various downstream locations - an example is shown in figure ...These ...
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Multiple time-dependent coefficient identification thermal problems with a free boundary
... have been proposed. In addition, the Stefan condition can be replaced by a second-order heat moment specification for which the unique solvability has also been proved. The analysis can also be extended to the case when ...
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A high-order compact integrated-RBF scheme for time-dependent problems
... *Corresponding author: [email protected] Abstract This paper presents a high-order approximation scheme based on compact integrated radial basis function (RBF) stencils and second-order ...
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Two Very Accurate and Efficient Methods for Solving Time Dependent Problems
... Vestibulum ante ipsum primis in faucibus orci luctus et ultrices posuere cubilia Curae; Pellentesque sit amet pede ac sem eleifend con- sectetuer.. Nullam elementum, urna vel im- perdiet[r] ...
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Anisotropic 2D mesh adaptation in hp-adaptive FEM
... anisotropic mesh adaptation, hp-adaptive finite element method, grammar, Petri net, deadlock ...during mesh transfor- mations for two dimensional hp-adaptive Finite Element Method (hp-FEM) ...
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Highly parallelisable simulations of time-dependent viscoplastic fluid flow simulations with structured adaptive mesh refinement
... Adaptive Mesh Refinement) code, which uses second-order Godunov methodology for the advective terms and semi-implicit diffusion in the context of an approximate projection method to solve adaptively refined ...for ...
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