## Found 96 Documents (Results 1–96)

100
MathJax

### Fictitious centre RBF method for high order BVPs in multiply connected domains. (English)Zbl 07443214

MSC:  65-XX 35-XX
Full Text:

Full Text:

### Method of fictitious domains and homotopy as a new alternative to multidimensional partial differential equations in domains of any shape. (English. Ukrainian original)Zbl 1453.65434

Ukr. Math. J. 72, No. 2, 211-231 (2020); translation from Ukr. Mat. Zh. 72, No. 2, 191-208 (2020).
Full Text:

### Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. (English)Zbl 1481.35011

EMS Tracts in Mathematics 33. Berlin: European Mathematical Society (EMS) (ISBN 978-3-03719-206-1/hbk; 978-3-03719-706-6/ebook). xvi, 317 p. (2020).
Full Text:

Full Text:

Full Text:

Full Text:

### Virtual topography: a fictitious domain approach for analyzing free-surface irregularities in large-scale earthquake ground motion simulation. (English)Zbl 1352.86016

MSC:  86A17 86-08 65M60 65M85 86A15
Full Text:

Full Text:

Full Text:

### A second-order curvilinear to Cartesian transformation of immersed interfaces and boundaries. Application to fictitious domains and multiphase flows. (English)Zbl 1431.76105

MSC:  76M99 65M85 76T30
Full Text:

### Towards computational modelling of aortic stenosis. (English)Zbl 1183.92051

MSC:  92C50 92C35 92-08
Full Text:

MSC:  65N35
Full Text:

### An Eulerian/Lagrangian method for the numerical simulation of incompressible convection flows interacting with complex obstacles: application to the natural convection in the Lascaux cave. (English)Zbl 1167.80345

MSC:  80A20 76R10 76S05 76D05 76M12
Full Text:

### Self-contact and fictitious domain using a difference convex approach. (English)Zbl 1195.74127

MSC:  74M15 74K99
Full Text:

Full Text:

### A comparison of fictitious domain methods appropriate for spectral/$$hp$$ element discretisations. (English)Zbl 1158.76357

MSC:  76M10 76M22 74F10
Full Text:

### An integral-collocation-based fictitious-domain technique for solving elliptic problems. (English)Zbl 1156.65096

MSC:  65N35 35J25
Full Text:

Full Text:

### Application of the method of penalty and the method of fictitious domains for second order parabolic variational inequalities with restriction inside the domain. (Ukrainian. English summary)Zbl 1142.65371

MSC:  65K10 49J40 49M30

Full Text:

### A three-dimensional fluid-structure interaction method for heart valve modelling. (English)Zbl 1173.76319

MSC:  76F05 92C35
Full Text:

### Numerical study of an alternative method of fictitious domains technique applied to outside domain wave equations. (English)Zbl 1084.65080

MSC:  65M06 65M12 35L05

### New fictitious domain methods: formulation and analysis. (English)Zbl 1107.65102

MSC:  65N30 35J25
Full Text:

### An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems. (English)Zbl 1083.65090

MSC:  65M60 65M06 35L05
Full Text:

### On estimate of the rate of convergence of difference schemes of the method of fictitious domains for second order elliptic equations. (Ukrainian. English summary)Zbl 1063.65577

MSC:  65N12 65N06 35J25

### Solving exterior problems of wave propagation based on an iterative variation of local DtN operators. (English)Zbl 1288.76065

MSC:  76M25 76W05 76D33
Full Text:

### On a new method for approximate solutions of boundary value problems in an arbitrary domain. (English. Russian original)Zbl 1046.65097

Dokl. Math. 63, No. 3, 364-367 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 4, 452-455 (2001).
MSC:  65N30 35J65

### An efficient algorithm for stiff elliptic problems with applications to the method of fictitious domains. (English. Russian original)Zbl 0970.65121

Comput. Math. Math. Phys. 39, No. 6, 884-896 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 6, 919-931 (1999).
MSC:  65N30 65N12 35J25

### An approximate solution of the problem of optimal control of elliptic systems in domains of arbitrary form. (English. Russian original)Zbl 0963.49022

Cybern. Syst. Anal. 35, No. 6, 847-852 (1999); translation from Kibern. Sist. Anal. 1999, No. 6, 3-8 (1999).
MSC:  49M25 65N30
Full Text:

### Solution of a certain class of problems of optimal control theory in domains of an arbitrary form. (English. Ukrainian original)Zbl 0976.49002

J. Math. Sci., New York 107, No. 2, 3764-3775 (2001); translation from Zh. Obchysl. Prykl. Mat. 83, No. 1, 71-82 (1998).
MSC:  49J20 93C20

### Estimate of the convergence rate of a difference scheme for an elliptic operator of the fourth order in a domain of arbitrary form. (Ukrainian. English summary)Zbl 0962.65089

MSC:  65N12 65N06 35J40

### New fictitious domain approach for numerical solution of the 3D electromagnetic scattering problem using Cartesian meshes. (English)Zbl 0924.65120

El Dabaghi, F. (ed.) et al., Approximations and numerical methods for the solution of Maxwell’s equations. Proceedings of the 3rd international conference held at the University of Oxford, GB, April 1995. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 65, 81-112 (1998).
MSC:  65Z05 35J05 35Q60 78M25 78A45 65N55

Full Text:

### Estimate of the convergence rate of a difference scheme for the Helmholtz equation in domains of arbitrary form. (Ukrainian)Zbl 0933.65126

Reviewer: O.A.Voina (Kyïv)
MSC:  65N12 35J05 65N06

### Problems of multiphase fluid filtration. Transl. from the Russian by L. A. Ulyankina. (English)Zbl 0837.76002

Singapore: World Scientific. xiv, 173 p. (1994).
Reviewer: O.Titow (Berlin)
MSC:  76-02 76S05 35Q35

### Mathematical aspects of domain decomposition methods. (English)Zbl 0815.65125

Joseph, A. (ed.) et al., First European congress of mathematics (ECM), Paris, France, July 6-10, 1992. Volume II: Invited lectures (Part 2). Basel: Birkhäuser. Prog. Math. 120, 355-379 (1994).

### Preconditioned iterative methods. Reprints. (English)Zbl 0832.65025

Topics in Computer Mathematics. 4. Lausanne: Gordon and Breach. xi, 491 p. (1994).

Full Text:

### Fixed grid numerical computations for the two-dimensional crystallization problem with regard to the convection in melt. (English. Russian original)Zbl 0829.76060

Mosc. Univ. Comput. Math. Cybern. 1993, No. 2, 6-14 (1993); translation from Vestn. Mosk. Univ., Ser. XV 1993, No. 2, 8-18 (1993).
MSC:  76M20 76T99 80A22

### Iterative methods of solving main boundary value problems for second- order quasilinear elliptic equations in complexly shaped domains. (English)Zbl 0816.65075

MSC:  65N06 65N12 35J65
Full Text:

Full Text:

### Decomposition and fictitious domains methods for elliptic boundary value problems. (English)Zbl 0770.65089

Domain decomposition methods for partial differential equations, Proc. 5th Int. SIAM Symp., Norfolk/VA (USA) 1991, 62-72 (1992).

### Error estimates for fictitious domain/penalty/finite element methods. (English)Zbl 0770.65066

MSC:  65N15 65N30 35J25
Full Text:

### Methods for efficient computation of averaged characteristics of composites of periodic structure of essentially heterogeneous materials. (Russian)Zbl 0753.73009

MSC:  74E05 74E30 35B27

### Method of fictitious regions for one class of fourth-order quasilinear elliptic equations. (English. Russian original)Zbl 0723.65084

J. Sov. Math. 54, No. 2, 766-773 (1991); translation from Vychisl. Prikl. Mat., Kiev 56, 21-29 (1985).
MSC:  65N12 35J65
Full Text:

### Method of fictitious regions for second-order quasilinear elliptic equations. (English. Russian original)Zbl 0723.65083

J. Sov. Math. 54, No. 2, 751-757 (1991); translation from Vychisl. Prikl. Mat., Kiev 56, 7-14 (1985).
MSC:  65N12 35J65
Full Text:

### Recent trends in boundary element methods for elastodynamics. (English)Zbl 0763.73067

Theory and applications of boundary element methods, Proc. 2nd China-Jap. Symp., Beijing/China 1988, 1-8 (1990).
MSC:  74S15 74-02

### Composite adaptive meshes in problems of mathematical physics. (English. Russian original)Zbl 0706.65094

U.S.S.R. Comput. Math. Math. Phys. 29, No. 3, 180-187 (1989); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 6, 902-914 (1989).
Full Text:

### Adaptive grids of composite type in problems of mathematical physics. (Russian)Zbl 0682.65057

Reviewer: U.Langer

### Numerical analysis through algorithms for solving problems of ideal hydrodynamics. (English. Russian original)Zbl 0799.76056

Comput. Math. Model. 2, No. 1, 17-23 (1991); translation from Tikhonov, A. N. (ed.) et al. Numerical methods for the solution of inverse problems of mathematical physics. Work collection, Moskva, 97-105 (1988).
MSC:  76M20 76M25 76V05
Full Text:

### Numerical algorithms of through computation for solution of problems of ideal hydrodynamics. (Russian)Zbl 0795.76055

Tikhonov, A. N. (ed.) et al., Numerical methods for the solution of inverse problems of mathematical physics. Work collection. Moskva: Izdatel’stvo Moskovskogo Universiteta. 97-105 (1988).
Reviewer: O.Titow (Berlin)
MSC:  76M20 76M25 76V05

### Two-sided approximations of eigenvalues in the method of fictitious domains in case of continuation with respect to the lowest coefficient. (Russian)Zbl 0678.65073

Model. Mekh. 2(19), No. 3, 105-115 (1988).
Reviewer: T.Reginska
MSC:  65N25

### Difference schemes with through computation for some problems of mathematical physics. (English. Russian original)Zbl 0673.65079

Differ. Equations 24, No. 7, 746-750 (1988); translation from Differ. Uravn. 24, No. 7, 1161-1166 (1988).
Reviewer: P.Přikryl

### A variant of the fictitious-domain method. (English. Russian original)Zbl 0671.65082

U.S.S.R. Comput. Math. Math. Phys. 28, No. 2, 134-139 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 4, 515-523 (1988).
Full Text:

### On a variant of the method of fictitious grid domains. (Russian)Zbl 0645.65057

Reviewer: I.Evzerov
MSC:  65N12 65N06 35J25

### Off-boundary approach to the boundary element method. (English)Zbl 0635.73039

Reviewer: J.D.Achenbach
Full Text:

### On the method of fictitious domains for a fourth order quasilinear elliptic equation. (Sur la méthode des domaines fictifs pour une équation elliptique quasilinéaire du quatrième ordre.) (French)Zbl 0668.65068

Reviewer: R.D.Lazarov
Full Text:

### Numerical realization of the method of fictitious domains for elliptic equations on the base of the alternately triangular method. (Russian)Zbl 0636.65111

Reviewer: P.-L.Lions
MSC:  65N30 35J05

### Fictitious domain and domain decomposition methods. (English)Zbl 0825.65027

MSC:  65F10 65N55

### The method of fictitious domains. (Russian)Zbl 0634.65086

MSC:  65N12 35J05 35J65

### The method of fictitious domains for a class of nonlinear boundary value problems. (Russian)Zbl 0634.65085

MSC:  65N12 35J65

### Estimates of the rate of convergence of difference schemes for second order elliptic variational inequalities in an arbitrary domain. (English)Zbl 0622.65051

MSC:  65K10 49J40
Full Text:

### Estimates of the rate of convergence of difference schemes for second order elliptic variational inequalities in an arbitrary domain. (Russian)Zbl 0607.65038

Reviewer: D.Fagé
MSC:  65K10 49J40

### A variant of the method of fictitious domain for second-order quasilinear elliptic equations. (Russian)Zbl 0634.65089

MSC:  65N12 35J65

### The method of fictitious domains for a class of fourth-order quasilinear elliptic equations. (Russian)Zbl 0634.65088

MSC:  65N12 35J65

### The method of fictitious domains for second order quasilinear elliptic equations. (Russian)Zbl 0634.65083

MSC:  65N12 35J65

### Asymptotic stability in the method of fictitious domains. (Russian)Zbl 0576.65100

Chislennye Metody Mekh. Sploshnoj Sredy 16, No. 2, 96-102 (1985).
MSC:  65N12 35G15

### The fictitious regions method of high order accuracy. (English)Zbl 0609.65084

Numerical problems, France-Italy-URSS 6th Joint Symp., INRIA, Rocquencourt/France 1983, 145-154 (1984).
Reviewer: I.Aganović
MSC:  65Z05 65N15

### Numerical solution of boundary value problems for fourth order elliptic equations. (English. Russian original)Zbl 0598.65079

U.S.S.R. Comput. Math. Math. Phys. 24, No. 4, 143-149 (1984); translation from Zh. Vychisl. Mat. Mat. Fiz. 24, No. 8, 1196-1206 (1984).
Reviewer: I.Aganović
Full Text:

### On the method of fictitious domains for the solution of problems of mathematical physics in domains of complicated form and its realization. II. (Russian)Zbl 0557.65081

MSC:  65Z05 35Q99 65N50

### Approximate solution of the Neumann problem for a second order elliptic equation in domains of arbitrary form. (Russian)Zbl 0557.65061

MSC:  65N12 35J25

### The method of fictitious domains for fourth order quasilinear equations. (Russian)Zbl 0628.65088

MSC:  65N12 35J65

### Method of fictitious domains for the two-phase filtration of immiscible incompressible fluids. (Russian)Zbl 0531.76103

MSC:  76S05 76M99 76T99

### On the asymptotic behaviour of solutions of initial-boundary value problems in the method of fictitious domains. (Russian)Zbl 0592.65083

Chislennye Metody Mekh. Sploshnoj Sredy 13, No. 3, 3-12 (1982).

### Foundation of the method of fictitious domains for the contact problem of elasticity theory. (Russian)Zbl 0556.73095

Chislennye Metody Mekh. Sploshnoj Sredy 13, No. 2, 7-13 (1982).
MSC:  74A55 74M15

### The method of fictitious domains in eigenvalue problems for a fourth order elliptic operator. (Russian)Zbl 0525.65075

MSC:  65N25 65N15 35P15

### Convergence of difference solutions to generalized solutions of the Dirichlet problem for the Helmholtz equation in an arbitrary domain. (English. Russian original)Zbl 0525.65068

Sov. Math., Dokl. 26, 532-535 (1982); translation from Dokl. Akad. Nauk SSSR 267, 34-37 (1982).
MSC:  65N12 35J05

### The method of fictitious domains for second order parabolic equations. (Russian)Zbl 0525.65067

MSC:  65N12 65N15 35K15

### On the theory of the method of fictitious domains. (Russian)Zbl 0518.76020

Chislennye Metody Mekh. Sploshnoj Sredy 13, No. 2, 125-137 (1982).
MSC:  76D05 76M99 65N99

### The method of fictitious domains for a boundary value problem for elliptic equations. (Russian)Zbl 0622.76047

Approximation and interpolation methods, Mater. IV. All-Union Conf., Novosibirsk 1981, 138-143 (1981).
MSC:  76D99

### On two approaches in the method of fictitious domains. (Russian)Zbl 0569.65062

Variational-difference methods in mathematical physics, IV. All-Union Conf. 1980, Novosibirsk 1981, 27-34 (1981).
Reviewer: K.Balla
MSC:  65L10 34B15

### A justification of the method of fictitious domains for problems of the filtration of two-phase weakly compressible liquid. (Russian)Zbl 0554.76079

Differential equations and their applications, Collect. Artic., Alma-Ata 1981, 27-30 (1981).
Reviewer: R.Farzan
MSC:  76T99 76S05

### On a universal program for the solution of three-dimensional boundary value problems. (Russian)Zbl 0536.65088

Mathematical questions of production control, Collect. Artic., Moskva 1981, 41-49 (1981).
Reviewer: P.Polcar
MSC:  65N99 35J05

### The justification of the method of fictitious domains in eigenvalue problems with respect to the finite-difference level. (Russian)Zbl 0496.65051

Chislennye Metody Mekh. Sploshnoj Sredy 12, No. 1, 95-109 (1981).
MSC:  65N25 65N15 35P15

Full Text:

Full Text:

all top 5

all top 5

all top 3

all top 3