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An adaptive mesh-moving and local refinement method for time-dependent partial differential equations
1990
ACM Transactions on Mathematical Software
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systems of time-dependent partial differential equations in two space dimensions and time. ...
We discuss an adaptive procedure that combines mesh movement and local refinement for m-dimensional vector systems of partial differential equations having the form (1.1a) for t>0, (x,y) EGl, with initial ...
doi:10.1145/77626.77631
fatcat:ebnu6ablb5cs7o4srdb7psp4a4
Page 4480 of Mathematical Reviews Vol. , Issue 87h
[page]
1987
Mathematical Reviews
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finite element method with error estimation and refinement for one-dimensional time dependent partial differential equations. ...
Aganovié (Zagreb)
Adjerid, Slimane (1-RSP);
Flaherty, Joseph E. (1-RSP)
A moving-mesh finite element method with local refinement for parabolic partial differential equations. Comput. Methods Appl. ...
Page 3343 of Mathematical Reviews Vol. , Issue 91F
[page]
1991
Mathematical Reviews
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{For the entire collection see MR 91¢:65005.}
91f:65154 65M50
Arney, David C. (1-WEPT); Flaherty, Joseph E. (1-RSP-C)
An adaptive mesh-moving and local refinement method for time-dependent partial differential ...
for vector systems of time-dependent partial differential equations in two space dimensions and time. ...
Page 4756 of Mathematical Reviews Vol. , Issue 90H
[page]
1990
Mathematical Reviews
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O
90h:65196 65N50 65M50
Arney, David C. (1-WEPT); Flaherty, Joseph E. (1-RSP-C)
An adaptive local mesh refinement method for time-dependent partial differential equations.
Appl. Numer. ...
Summary: “We discuss an adaptive local mesh refinement proce- dure for solving time-dependent initial-boundary value problems
65 NUMERICAL ANALYSIS
4756
for vector systems of partial differential equations ...
Adaptive moving mesh algorithm based on local reaction rate
2021
Heliyon
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Our mesh adaption method is advantageous for modeling of any reaction-diffusion systems with localized high concentration gradients. ...
An r-refinement technique is used and attached to the commercial finite element solver COMSOL. We investigated the time-dependent salt effects of the diode with our developed algorithm. ...
A finite-difference, adaptive space/time grid strategy based on a patch-type local uniform spatial grid refinement, for kinetic models in one-dimensional space geometry. J. Electroanal. Chem. 481 (2) ...
doi:10.1016/j.heliyon.2020.e05842
pmid:33521342
pmcid:PMC7820511
fatcat:dcfqu4hw6re5liq6dmawcwrppi
Page 421 of Mathematical Reviews Vol. , Issue 92a
[page]
1992
Mathematical Reviews
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[Shen, Jian] (1-WY) Applications of adaptive grid-refinement methods. Advances in numerical partial differential equations and optimization (Mérida, 1989), 76-100, SIAM, Philadelphia, PA, 1991. ...
Computational results are included and compared with theoreti- cal convergence rates for local refinement of mixed finite element methods, incomplete factorization preconditioners, and local time- stepping ...
Page 2657 of Mathematical Reviews Vol. , Issue 86f
[page]
1986
Mathematical Reviews
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2657
Author summary: “We examine the use of data structures in the design and implementation of an adaptive mesh refinement algorithm for solving hyperbolic partial differential equations. ...
Author summary: “An adaptive numerical method for parabolic
partial differential equations in one space dimension is described. ...
Adaptive-grid methods for time-dependent partial differential equations
[chapter]
1982
Lecture notes in mathematics
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Department · of Energy Office of Basic Energy Sciences, Applied Mathematics and Statistics Div:i.sion. Work performed under the auspices of the U.S. ...
of a partial differential equation L(u, at' C! ...
Until recently, this has not been the case for time-dependent partial differential equations, but it seems likely that multidimensional computations will be very costly or even impossible without the development ...
doi:10.1007/bfb0069939
fatcat:n2awcj6uwfh4thrja5ha5zhsy4
Page 973 of Mathematical Reviews Vol. , Issue 87b
[page]
1987
Mathematical Reviews
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Author summary: “We describe an adaptive grid or moving node method which can be used to solve systems of nonlinear partial differential equations. ...
973 65P Partial differential equations, miscellaneous problems
Madsen, Niel K. (1-LLL) 87b:65215 MOLAG: a method of lines adaptive grid interface for nonlinear partial differential equations. ...
An h-r Moving Mesh Method for One-Dimensional Time-Dependent PDEs
[chapter]
2013
Proceedings of the 21st International Meshing Roundtable
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We propose a new moving mesh method suitable for solving timedependent partial differential equations (PDEs) in R 1 which have fine scale solution structures that develop or dissipate. ...
The implicitly represented mesh is evolved by updating the underlying level set function using a derived level set moving mesh partial differential equation (LMPDE). ...
Conclusions In this paper, we have constructed, discussed and implemented a new moving mesh h-r hybrid method for solving time dependent partial differential equations. ...
doi:10.1007/978-3-642-33573-0_3
dblp:conf/imr/OngRR12
fatcat:4o46ra5h3naelnbbewokiglrxq
Page 4841 of Mathematical Reviews Vol. , Issue 2004f
[page]
2004
Mathematical Reviews
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Adaptive mesh methods have been widely used recently to solve time dependent partial differential equations having large solution gradients. ...
4841 65M _ Partial differential equations, initial value and time-dependent initial-boundary value problems
Y. Achdou and J.-L. Guermond [SIAM J. Numer. ...
Page 487 of Mathematical Reviews Vol. , Issue 2004a
[page]
2004
Mathematical Reviews
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487 65M _ Partial differential equations, initial value and time-dependent initial-boundary value problems
hyperbolic system are given with the perturbation and the substitu- tion methods. ...
Here, the Shishkin mesh is constructed with respect to the local curvilinear coordinate system, which is adapted with the moving interface y(t). ...
Scale-invariant moving finite elements for nonlinear partial differential equations in two dimensions
2006
Applied Numerical Mathematics
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A scale-invariant moving finite element method is proposed for the adaptive solution of nonlinear partial differential equations. ...
differential equations is carried out using a scale-invariant time-stepping which yields uniform local accuracy in time. ...
Introduction In this paper a moving mesh finite element method is presented for the solution of scale-invariant nonlinear partial differential equations (PDEs) based on conservation of a monitor integral ...
doi:10.1016/j.apnum.2005.04.002
fatcat:hzldbku2avhhvcgczqdfjj7gam
Page 8738 of Mathematical Reviews Vol. , Issue 99m
[page]
1999
Mathematical Reviews
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space-time local refinement method for first-order linear hyperbolic equations with interfaces. ...
Numerical examples are presented in which the method is used both for mesh generation and for solv- ing time-dependent PDEs. ...
Three-Dimensional Adaptive Mesh Relaxation
[chapter]
1998
Simulation of Semiconductor Processes and Devices 1998
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This paper presents a numerical method for adaptive mesh relaxation, applicable in three dimensions, where with little effort a big benefit can be reached by adaptive mesh relaxation for a numerical simulation ...
In numerical calculations based on partial differential equations the kind of discretization, in particular the kind of mesh that can bo used is ol almost importance. ...
The presented method is a mixture of an adaptive local mesh refinement and coarsement using an error estimation and a moving mesh based on artificial imprinted torces into a elasto-mechanical model depending ...
doi:10.1007/978-3-7091-6827-1_49
fatcat:miixrnkrwbajxnxq432na6vyu4
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