[PDF] Top 20 Two local time stepping schemes for parabolic problems
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Two local time stepping schemes for parabolic problems
... implicit time stepping method. For each global time step, the problem is solved implicitly in the whole domain but using a linear approximation of the model in the refined regions which avoids any ... See full document
15
Local time stepping with adaptive time step control for a two-phase fluid system
... a time step from the initial condition which would remain suitable throughout the ...the time step. The evolution of the time step monitored by the stability condition is displayed in Figure ...the ... See full document
16
An Adaptive Time-Stepping Scheme with Local Convergence Verification Using Support Vector Machines
... B. Local Convergence Verification and Data Generation When a large complex computer simulator has just been developed, it is unclear if the simulator maintains computational convergence property; whether or not ... See full document
5
WENO schemes for multidimensional nonlinear degenerate parabolic PDEs
... the two-dimensional porous medium equation ...convection-diffusion problems [3, 22]. Next, in Example 4, a scalar two- dimensinal reaction-diffusion equation is considered ...the time step is ... See full document
22
An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type
... abstract parabolic problem (1.1). We introduce the hp-DG time-stepping method and derive optimal hp-version error estimates that are completely explicit in all the parameters of ...for ... See full document
28
HAAR BASIS METHOD TO SOLVE SOME INVERSE PROBLEMS FOR TWO-DIMENSIONAL PARABOLIC AND HYPERBOLIC EQUATIONS
... a two-dimensional inverse heat conduction problem to estimate the radial and circumferential transient dependence of the strength of a volumetric heat source in a cylindrical ...the local ... See full document
23
Multi-Rate Runge-Kutta-Chebyshev Time Stepping for Parabolic Equations on Adaptively Refined Meshes
... for problems involving heat source terms, the solutions could produce sharp ...stiff problems with sharp gradients which are present only in some parts of the ...a two dimensional adaptively refined ... See full document
93
A local time-stepping Discontinuous Galerkin algorithm for the MHD system
... several time steps of a lower order method, but also because the mesh is unstructured and contains several small cells where the local time-stepping algorithm is activated (in practice, the ... See full document
22
An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays
... difference schemes for the spatial discretizations of time-delay partial differential equations to get a system of ODEs with time ...value problems with time delays in one and two ... See full document
20
Super-time-stepping acceleration of explicit schemes
... explicit time-stepping schemes, at essentially no extra ...linear problems, and spell out how simple it is to incorporate in any explicit code for parabolic ...implicit schemes ... See full document
11
A Local Meshless Method for Two Classes of Parabolic Inverse Problems
... A local meshless method is applied to find the numerical solutions of two classes of inverse problems in parabolic ...is time dependent, and the other class is that the source term is ... See full document
11
Implicit-Explicit Time Stepping Scheme Based on the Streamline Diffusion Method for Fluid-fluid Interaction Problems
... It is well known that dominating convection feature has a hyperbolic nature. Standard applications of the finite element method to convection-dominated problems usually lead to unstable numerical schemes. ... See full document
10
A posteriori error estimates of fully discrete finite element schemes for nonlinear parabolic integro differential optimal control problems
... finite-element schemes for quadratic nonlinear parabolic integro-differential optimal control ...nonlinear parabolic integro-differential optimal control ... See full document
14
Blow-up and nonexistence of solutions of some semilinear degenerate parabolic equations
... [] and in the physical phenomena such as diffusion and convection of matter. One of the main features of equation (.) is the strong degeneracy due to the lack of diffusion in the y- direction. We restrict our ... See full document
12
Blow Up Phenomena for a Class of Parabolic Systems with Time Dependent Coefficients
... Nonlinear Parabolic Prob- lems with Time Dependent Coefficients under Dirichlet Boundary Conditions,” Proceedings of the American Mathe- matical Sociery, ... See full document
6
Ross scheme, Newton–Raphson iterative methods and time stepping strategies for solving the mixed form of Richards' equation
... the time-step size was quite large com- pared to the more restrictive conditions until day ...the time step to close to the minimum value (10 −8 s), causing the procedure to ...smaller time steps ... See full document
17
The replanning of the blitzed city centre in Britain: a comparative study of Bristol, Coventry and Southampton, 1941 1950
... HLG Ministry of Housing and Local Government Planning Schemes HLG4 HLG7 Special War Time Functions Local Government Services: HLG51 correspondence and papers Local Government Administrat[r] ... See full document
294
Two Optimization Problems of a Continuous in Time Financial Model
... In Section 2, we enrich this continuous-in-time financial model to take into account the possibility of saving. Then we propose two new optimization prob- lems involving this model. The first one which is ... See full document
16
Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux
... We study the global existence and the global nonexistence of a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux. We first establish a weak comparison principle, then discuss the large ... See full document
15
Harnack Inequalities: An Introduction
... or local H¨older a priori estimates ...degenerate parabolic oper- ators behave much different from degenerate elliptic ...degenerate parabolic operators but the constant depends on other important ... See full document
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