## Computers & Mathematics with Applications

 Short Title: Comput. Math. Appl. Publisher: Elsevier (Pergamon), Oxford ISSN: 0898-1221 Online: https://www.sciencedirect.com/journal/computers-and-mathematics-with-applications/issues Predecessor: Computers and Mathematics with Applications. Part BComputers and Mathematics with Applications. Part A Comments: Vol. 12 (1986) was published as Part A respectively Part B.
 Documents Indexed: 12,153 Publications (since 1975) References Indexed: 11,926 Publications with 281,569 References.
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### Authors

 86 Agarwal, Ravi P. 61 Lee, E. Stanley 52 Jódar Sanchez, Lucas Antonio 52 Srivastava, Hari Mohan 50 Dehghan Takht Fooladi, Mehdi 46 Glaister, Paul 44 Pan, Victor Yakovlevich 41 Galperin, Efim A. 40 Yavin, Yaakov 35 Liu, Fawang 35 Murio, Diego A. 31 Anastassiou, George Angelos 31 Dragomir, Sever Silvestru 31 O’Regan, Donal 31 Yao, Jen-Chih 30 Tang, Xianhua 28 Huang, Ting-Zhu 28 Zhou, Yong 27 Demkowicz, Leszek F. 27 Zhang, Binggen 26 Ma, Changfeng 24 Wong, Patricia J. Y. 23 Li, Hongxing 22 Adomian, George 22 Ge, Weigao 22 Greenspan, Donald 22 Shi, Baochang 21 Gunzburger, Max D. 21 Kalaba, Robert E. 21 Noor, Muhammad Aslam 20 Aouf, Mohamed Kamal 20 Jun, Young Bae 20 Krafczyk, Manfred 19 Cho, Yeol Je 19 Faragó, István 19 Huang, Nan-Jing 19 Huang, Yunqing 19 Ma, Wen-Xiu 19 Misra, Jagadis C. 19 Tian, Bo 18 Henderson, Johnny Lee 18 Kang, Shin Min 18 Momani, Shaher M. 18 Neta, Beny 18 Ortiz, Eduardo L. 18 Yan, Jurang 18 Yu, Jian-She 18 Zlatev, Zahari 17 Debnath, Lokenath 17 Ding, Xie Ping 17 He, Yinnian 17 Li, Jichun 17 Simos, Theodore E. 17 Wachspress, Eugene L. 17 Yıldırım, Ahmet 16 Chai, Zhenhua 16 Chen, Wen 16 Evans, David John 16 Li, Wan-Tong 16 Rojo, Oscar L. 15 Petković, Miodrag S. 15 Qin, Mengzhao 15 Shampine, Lawrence Fred 15 Shi, Dongyang 15 Shieh, Leang-San 15 Tang, Yifa 15 Vaillancourt, Rémi 14 Băleanu, Dumitru I. 14 Hayat, Tasawar 14 Jiang, Daqing 14 Park, Eun-Jae 14 Wang, Yuanming 14 Wazwaz, Abdul-Majid Abdul-Rahman 14 Yuan, Xuehai 13 Bai, Zhongzhi 13 Chen, Yanping 13 Machado, José António Tenreiro 13 Noor, Khalida Inayat 13 Reif, John H. 13 Zhan, Jianming 13 Zhang, Guofeng 13 Zhu, Songping 12 Abbaszadeh, Mostafa 12 Balachandran, Krishnan 12 Biazar, Jafar 12 Ceng, Lu-Chuan 12 Chen, Haibo 12 Chen, Lansun 12 Cheng, Sui Sun 12 Davvaz, Bijan 12 Düster, Alexander 12 Graef, John R. 12 Guu, Sy-Ming 12 Hou, Yanren 12 Huang, Lihong 12 Kansa, Edward J. 12 Li, Xiaolin 12 Ricci, Paolo Emilio 12 Rui, Hongxing 12 Syau, Yu-Ru ...and 15,479 more Authors
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### Fields

 5,150 Numerical analysis (65-XX) 2,489 Partial differential equations (35-XX) 1,730 Fluid mechanics (76-XX) 1,391 Ordinary differential equations (34-XX) 945 Operations research, mathematical programming (90-XX) 909 Computer science (68-XX) 757 Biology and other natural sciences (92-XX) 636 Mechanics of deformable solids (74-XX) 467 Difference and functional equations (39-XX) 465 Operator theory (47-XX) 436 Calculus of variations and optimal control; optimization (49-XX) 434 Systems theory; control (93-XX) 425 Probability theory and stochastic processes (60-XX) 423 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 402 Real functions (26-XX) 370 Integral equations (45-XX) 358 Information and communication theory, circuits (94-XX) 338 Statistics (62-XX) 335 Dynamical systems and ergodic theory (37-XX) 331 Linear and multilinear algebra; matrix theory (15-XX) 322 Approximations and expansions (41-XX) 254 Combinatorics (05-XX) 251 Statistical mechanics, structure of matter (82-XX) 245 Optics, electromagnetic theory (78-XX) 240 Classical thermodynamics, heat transfer (80-XX) 200 Functions of a complex variable (30-XX) 189 Special functions (33-XX) 187 Mathematical logic and foundations (03-XX) 131 Number theory (11-XX) 117 Geophysics (86-XX) 97 Mechanics of particles and systems (70-XX) 93 Harmonic analysis on Euclidean spaces (42-XX) 91 General topology (54-XX) 89 General and overarching topics; collections (00-XX) 85 Quantum theory (81-XX) 69 Sequences, series, summability (40-XX) 64 Integral transforms, operational calculus (44-XX) 61 Group theory and generalizations (20-XX) 57 Functional analysis (46-XX) 46 Order, lattices, ordered algebraic structures (06-XX) 45 Convex and discrete geometry (52-XX) 43 Field theory and polynomials (12-XX) 38 Geometry (51-XX) 33 History and biography (01-XX) 32 Measure and integration (28-XX) 27 Potential theory (31-XX) 24 Associative rings and algebras (16-XX) 24 Global analysis, analysis on manifolds (58-XX) 23 Differential geometry (53-XX) 20 General algebraic systems (08-XX) 20 Relativity and gravitational theory (83-XX) 15 Algebraic geometry (14-XX) 12 Manifolds and cell complexes (57-XX) 12 Astronomy and astrophysics (85-XX) 10 Commutative algebra (13-XX) 9 Topological groups, Lie groups (22-XX) 7 Category theory; homological algebra (18-XX) 4 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 2 Abstract harmonic analysis (43-XX) 2 Mathematics education (97-XX)

### Citations contained in zbMATH Open

9,542 Publications have been cited 99,644 times in 63,181 Documents Cited by Year
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1990
Multiquadrics – a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations. Zbl 0850.76048
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Soft set theory – first results. Zbl 0936.03049
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A dual algorithm for the solution of nonlinear variational problems via finite element approximation. Zbl 0352.65034
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1976
Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability. Zbl 1189.34015
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2010
Soft set theory. Zbl 1032.03525
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2003
Positive solutions for a quasilinear elliptic equation of Kirchhoff type. Zbl 1130.35045
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2005
Existence of mild solutions for fractional neutral evolution equations. Zbl 1189.34154
Zhou, Yong; Jiao, Feng
2010
A new operational matrix for solving fractional-order differential equations. Zbl 1189.65151
2010
Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions. Zbl 1205.34003
2009
An application of soft sets in a decision making problem. Zbl 1044.90042
Maji, P. K.; Roy, A. D.; Biswas, R.
2002
Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results. Zbl 1137.65001
Jumarie, G.
2006
A computational approach to fuzzy quantifiers in natural languages. Zbl 0517.94028
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On some new operations in soft set theory. Zbl 1186.03068
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2009
On $$\Delta$$-convergence theorems in CAT$$(0)$$ spaces. Zbl 1165.65351
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2008
Finite element solution of the Helmholtz equation with high wave number. I: The $$h$$-version of the FEM. Zbl 0838.65108
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1995
Variational iteration method: New development and applications. Zbl 1141.65372
He, Ji-Huan; Wu, Xu-Hong
2007
Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations. Zbl 0955.65086
Kansa, E. J.; Hon, Y. C.
2000
Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions. Zbl 0987.65122
Boyd, J. P.
2001
Equivalent projectors for virtual element methods. Zbl 1347.65172
Ahmad, B.; Alsaedi, A.; Brezzi, F.; Marini, L. D.; Russo, A.
2013
Fractional calculus models of complex dynamics in biological tissues. Zbl 1189.92007
Magin, Richard L.
2010
Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988. Zbl 0692.65003
Hardy, R. L.
1990
On Riemann and Caputo fractional differences. Zbl 1228.26008
2011
Implicit finite difference approximation for time fractional diffusion equations. Zbl 1155.65372
Murio, Diego A.
2008
Convergence of Adomian’s method applied to differential equations. Zbl 0809.65073
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1994
Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations. Zbl 1189.34014
Li, C. F.; Luo, X. N.; Zhou, Yong
2010
Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion. Zbl 1228.65190
Li, Changpin; Zhao, Zhengang; Chen, Yangquan
2011
Stable computation of multiquadric interpolants for all values of the shape parameter. Zbl 1072.41001
Fornberg, B.; Wright, G.
2004
Existence of fractional neutral functional differential equations. Zbl 1189.34152
Agarwal, R. P.; Zhou, Yong; He, Yunyun
2010
Soft semirings. Zbl 1165.16307
Feng, Feng; Jun, Young Bae; Zhao, Xianzhong
2008
Three positive fixed points of nonlinear operators on ordered Banach spaces. Zbl 1005.47051
Avery, R. I.; Peterson, A. C.
2001
A numerical study of some radial basis function based solution methods for elliptic PDEs. Zbl 1049.65136
2003
Existence and uniqueness for a problem involving hilfer fractional derivative. Zbl 1268.34013
Furati, Khaled M.; Kassim, M. D.; Tatar, Nasser-eddine
2012
Linear superposition principle applying to Hirota bilinear equations. Zbl 1217.35164
Ma, Wen-Xiu; Fan, Engui
2011
New ideas for proving convergence of decomposition methods. Zbl 0832.47051
Abbaoui, K.; Cherruault, Y.
1995
Interpolation in the limit of increasingly flat radial basis functions. Zbl 1006.65013
Driscoll, T. A.; Fornberg, B.
2002
A meshless, integration-free, and boundary-only RBF technique. Zbl 0999.65142
Chen, W.; Tanaka, M.
2002
Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions. Zbl 1211.39002
Goodrich, Christopher S.
2011
On soft topological spaces. Zbl 1219.54016
2011
The parameterization reduction of soft sets and its applications. Zbl 1074.03510
Chen, Degang; Tsang, E. C. C.; Yeung, Daniel S.; Wang, Xizhao
2005
Goal-oriented error estimation and adaptivity for the finite element method. Zbl 0987.65110
Oden, J. T.; Prudhomme, S.
2001
A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order. Zbl 1231.65126
Doha, E. H.; Bhrawy, A. H.; Ezz-Eldien, S. S.
2011
Meshfree explicit local radial basis function collocation method for diffusion problems. Zbl 1168.41003
Šarler, B.; Vertnik, R.
2006
Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation. Zbl 1189.35360
Luchko, Yury
2010
The parameter $$R^ 2$$ in multiquadric interpolation. Zbl 0725.65009
Carlson, Ralph E.; Foley, Thomas A.
1991
Existence of solutions for a class of fractional boundary value problems via critical point theory. Zbl 1235.34017
Jiao, Feng; Zhou, Yong
2011
Uniform asymptotic stability of impulsive delay differential equations. Zbl 0989.34061
Liu, Xinzhi; Ballinger, G.
2001
Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings. Zbl 1081.47063
Cho, Yeol Je; Zhou, Haiyun; Guo, Ginti
2004
Positive solutions to singular boundary value problem for nonlinear fractional differential equation. Zbl 1189.34050
Zhang, Shuqin
2010
Anomalous diffusion modeling by fractal and fractional derivatives. Zbl 1189.35355
Chen, Wen; Sun, Hongguang; Zhang, Xiaodi; Korošak, Dean
2010
LMI stability conditions for fractional order systems. Zbl 1189.34020
Sabatier, Jocelyn; Moze, Mathieu; Farges, Christophe
2010
Miscellaneous error bounds for multiquadric and related interpolators. Zbl 0766.41003
1992
Least squares finite-element solution of a fractional order two-point boundary value problem. Zbl 1069.65094
Fix, G. J.; Roof, J. P.
2004
Fractional diffusion equations by the Kansa method. Zbl 1189.35356
Chen, Wen; Ye, Linjuan; Sun, Hongguang
2010
Coupled fixed point theorems for nonlinear contractions in cone metric spaces. (Couple fixed point theorems for nonlinear contractions in cone metric spaces.) Zbl 1198.65097
Karapınar, Erdal
2010
Coupled fixed point results for $$(\psi,\phi)$$-weakly contractive condition in ordered partial metric spaces. Zbl 1236.54035
Aydi, Hassen; Karapınar, Erdal; Shatanawi, Wasfi
2011
The Runge phenomenon and spatially variable shape parameters in RBF interpolation. Zbl 1128.41001
Fornberg, Bengt; Zuev, Julia
2007
On the approximate controllability of semilinear fractional differential systems. Zbl 1228.34093
Sakthivel, R.; Ren, Yong; Mahmudov, N. I.
2011
Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models. Zbl 0873.34061
Yang, Xia; Chen, Lansun; Chen, Jufang
1996
Nonlinear impulsive problems for fractional differential equations and Ulam stability. Zbl 1268.34033
Wang, JinRong; Zhou, Yong; Fečkan, Michal
2012
Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013
Debbouche, Amar; Baleanu, Dumitru
2011
Projection methods, algorithms, and a new system of nonlinear variational inequalities. Zbl 0995.47042
Verma, R. U.
2001
Numerical methods and analysis for a class of fractional advection-dispersion models. Zbl 1268.65124
Liu, F.; Zhuang, P.; Burrage, K.
2012
Gradient based iterative solutions for general linear matrix equations. Zbl 1189.65083
Xie, Li; Ding, Jie; Ding, Feng
2009
Soft BCK/BCI-algebras. Zbl 1155.06301
Jun, Young Bae
2008
Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay. Zbl 1228.35253
Wang, Zhen; Huang, Xia; Shi, Guodong
2011
A two-level discretization method for the Navier-Stokes equations. Zbl 0773.76042
Layton, W.
1993
Carstensen, C.; Feischl, M.; Page, M.; Praetorius, D.
2014
Mixed lump-kink solutions to the BKP equation. Zbl 1387.35540
Zhang, Jian-bing; Ma, Wen-Xiu
2017
New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation. Zbl 1202.65092
Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E.
2010
New diffusion models in image processing. Zbl 1155.35389
Aboulaich, R.; Meskine, D.; Souissi, A.
2008
A new system of variational inclusions with $$(H,\eta)$$-monotone operators in Hilbert spaces. Zbl 1068.49003
Fang, Ya-Ping; Huang, Nan-Jing; Thompson, H. B.
2005
Existence and multiplicity of positive solutions for singular fractional boundary value problems. Zbl 1247.34006
Bai, Zhanbing; Sun, Weichen
2012
A tau approach for solution of the space fractional diffusion equation. Zbl 1228.65203
2011
On the global existence of solutions to a class of fractional differential equations. Zbl 1189.34006
Băleanu, Dumitru; Mustafa, Octavian G.
2010
Rational solutions and lump solutions to the generalized $$(3+1)$$-dimensional shallow water-like equation. Zbl 1368.35240
Zhang, Yong; Dong, Huanhe; Zhang, Xiaoen; Yang, Hongwei
2017
Theory of fractional hybrid differential equations. Zbl 1228.45017
Zhao, Yige; Sun, Shurong; Han, Zhenlai; Li, Qiuping
2011
Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions. Zbl 1074.41012
2005
Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method. Zbl 1143.35360
Wu, Xu-Hong (Benn); He, Ji-Huan
2007
Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems. Zbl 1222.65066
Kosti, A. A.; Anastassi, Z. A.; Simos, T. E.
2011
Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary. Zbl 0999.65137
Fedoseyev, A. I.; Friedman, M. J.; Kansa, E. J.
2002
On modified Runge-Kutta trees and methods. Zbl 1231.65118
Tsitouras, Ch.; Famelis, I. Th.; Simos, T. E.
2011
Mixed lump-kink solutions to the KP equation. Zbl 1394.35461
Zhao, Hai-qiong; Ma, Wen-Xiu
2017
Positive solutions for a class of boundary value problems with fractional $$q$$-differences. Zbl 1216.39013
Ferreira, Rui A. C.
2011
The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. Zbl 1189.65254
Odibat, Zaid; Momani, Shaher
2009
Ranking fuzzy numbers with an area between the centroid point and original point. Zbl 1113.62307
Chu, Ta-Chung; Tsao, Chung-Tsen
2002
Recurrence relations for the super-Halley method. Zbl 0933.65063
Gutiérrez, J. M.; Hernández, M. A.
1998
Some observations regarding interpolants in the limit of flat radial basis functions. Zbl 1048.41017
Fornberg, B.; Wright, G.; Larsson, E.
2004
A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model. Zbl 1350.65092
Zhang, H.; Liu, F.; Phanikumar, Mantha S.; Meerschaert, Mark M.
2013
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Zbl 1345.35128
D’Elia, Marta; Gunzburger, Max
2013
Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials. Zbl 1099.33011
Luo, Qiu-Ming; Srivastava, H. M.
2006
A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation. Zbl 1236.65083
Alolyan, Ibraheem; Simos, T. E.
2011
Coupled fixed point results for $$(\psi,\phi)$$-weakly contractive mappings in ordered $$G$$-metric spaces. Zbl 1238.54020
Aydi, Hassen; Postolache, Mihai; Shatanawi, Wasfi
2012
Approximate controllability of fractional stochastic evolution equations. Zbl 1238.93099
Sakthivel, R.; Suganya, S.; Anthoni, S. M.
2012
An extragradient method for solving split feasibility and fixed point problems. Zbl 1252.65102
Ceng, L.-C.; Ansari, Q. H.; Yao, J.-C.
2012
On the fractional Adams method. Zbl 1189.65142
Li, Changpin; Tao, Chunxing
2009
An explicit Numerov-type method for second-order differential equations with oscillating solutions. Zbl 1121.65086
Van De Vyver, Hans
2007
Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions. Zbl 1228.34009
2011
KKM mappings in cone $$b$$-metric spaces. Zbl 1231.54022
Hussain, N.; Shah, M. H.
2011
A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms. Zbl 0963.65090
Gosse, L.
2000
Virtual elements for Maxwell’s equations. Zbl 07546660
Beirão da Veiga, L.; Dassi, F.; Manzini, G.; Mascotto, L.
2022
A space-time DPG method for the heat equation. Zbl 07447595
Diening, Lars; Storn, Johannes
2022
A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models. Zbl 07483144
Zhao, Jia
2022
A weakly compressible, diffuse interface model of two-phase flows: numerical development and validation. Zbl 07469188
2022
Condenser capacity and hyperbolic perimeter. Zbl 07447596
Nasser, Mohamed M. S.; Rainio, Oona; Vuorinen, Matti
2022
Boundary integral formulations for acoustic modelling of high-contrast media. Zbl 07447601
van &rsquo;t Wout, Elwin; Haqshenas, Seyyed R.; Gélat, Pierre; Betcke, Timo; Saffari, Nader
2022
Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media. Zbl 07447602
Dehghan, Mehdi; Gharibi, Zeinab
2022
An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients. Zbl 07483118
Arnold, Anton; Geevers, Sjoerd; Perugia, Ilaria; Ponomarev, Dmitry
2022
Finite element analysis of a Keller-Segel model with additional cross-diffusion and logistic source. II: Time convergence and numerical simulation. Zbl 07483132
Hashim, Mohammed H.; Harfash, Akil J.
2022
Optimal vault problem – form finding through 2D convex program. Zbl 07483136
Bołbotowski, Karol
2022
Effective properties of two-dimensional dispersed composites. I: Schwarz’s alternating method. Zbl 07504613
2022
Some observations on preconditioning for non-self-adjoint and time-dependent problems. Zbl 07546665
Wathen, Andy
2022
A $$C^1$$ virtual element method for the stationary quasi-geostrophic equations of the ocean. Zbl 07546668
2022
Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations. Zbl 1490.65299
Gantner, Gregor; Praetorius, Dirk
2022
Critical functions and inf-sup stability of Crouzeix-Raviart elements. Zbl 07469167
Carstensen, C.; Sauter, S.
2022
Two-grid finite volume element method for the time-dependent Schrödinger equation. Zbl 07469178
Chen, Chuanjun; Lou, Yuzhi; Hu, Hanzhang
2022
A constrained variational model of biomolecular solvation and its numerical implementation. Zbl 07469193
Shao, Yuanzhen; Hawkins, Elizabeth; Wang, Kai; Chen, Zhan
2022
Adaptive space-time BEM for the heat equation. Zbl 07469201
Gantner, Gregor; van Venetië, Raymond
2022
Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries. Zbl 07447598
Lin, Ji; Qiu, Lin; Wang, Fajie
2022
MFEM: a modular finite element methods library. Zbl 07288706
Anderson, Robert; Andrej, Julian; Barker, Andrew; Bramwell, Jamie; Camier, Jean-Sylvain; Cerveny, Jakub; Dobrev, Veselin; Dudouit, Yohann; Fisher, Aaron; Kolev, Tzanio; Pazner, Will; Stowell, Mark; Tomov, Vladimir; Akkerman, Ido; Dahm, Johann; Medina, David; Zampini, Stefano
2021
A linearized element-free Galerkin method for the complex Ginzburg-Landau equation. Zbl 07336206
Li, Xiaolin; Li, Shuling
2021
The deal.II finite element library: design, features, and insights. Zbl 07288721
Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David
2021
The Dune framework: basic concepts and recent developments. Zbl 07288707
Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver
2021
FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws. Zbl 1461.76347
Krais, Nico; Beck, Andrea; Bolemann, Thomas; Frank, Hannes; Flad, David; Gassner, Gregor; Hindenlang, Florian; Hoffmann, Malte; Kuhn, Thomas; Sonntag, Matthias; Munz, Claus-Dieter
2021
A global-local approach for hydraulic phase-field fracture in poroelastic media. Zbl 07351748
Aldakheel, Fadi; Noii, Nima; Wick, Thomas; Wriggers, Peter
2021
Space-time least-squares finite elements for parabolic equations. Zbl 07351758
Führer, Thomas; Karkulik, Michael
2021
The rapid assessment for three-dimensional potential model of large-scale particle system by a modified multilevel fast multipole algorithm. Zbl 07336187
Li, Junpu; Gu, Yan; Qin, Qing-Hua; Zhang, Lan
2021
High-order entropy stable discontinuous Galerkin methods for the shallow water equations: curved triangular meshes and GPU acceleration. Zbl 07308010
Wu, Xinhui; Kubatko, Ethan J.; Chan, Jesse
2021
Palabos: parallel lattice Boltzmann solver. Zbl 07288717
Latt, Jonas; Malaspinas, Orestis; Kontaxakis, Dimitrios; Parmigiani, Andrea; Lagrava, Daniel; Brogi, Federico; Belgacem, Mohamed Ben; Thorimbert, Yann; Leclaire, Sébastien; Li, Sha; Marson, Francesco; Lemus, Jonathan; Kotsalos, Christos; Conradin, Raphaël; Coreixas, Christophe; Petkantchin, Rémy; Raynaud, Franck; Beny, Joël; Chopard, Bastien
2021
Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws. Zbl 07325139
Hajduk, Hennes
2021
Efficient solvers for hybridized three-field mixed finite element coupled poromechanics. Zbl 07351745
Frigo, Matteo; Castelletto, Nicola; Ferronato, Massimiliano; White, Joshua A.
2021
Nektar++: design and implementation of an implicit, spectral/$$hp$$ element, compressible flow solver using a Jacobian-free Newton Krylov approach. Zbl 1456.76087
Yan, Zhen-Guo; Pan, Yu; Castiglioni, Giacomo; Hillewaert, Koen; Peiró, Joaquim; Moxey, David; Sherwin, Spencer J.
2021
Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow. Zbl 07325124
Li, Huanrong; Song, Zhengyuan; Hu, Junzhao
2021
On the sources placement in the method of fundamental solutions for time-dependent heat conduction problems. Zbl 07336168
Grabski, Jakub Krzysztof
2021
KSPHPDDM and PCHPDDM: extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners. Zbl 07308040
Jolivet, Pierre; Roman, Jose E.; Zampini, Stefano
2021
A virtual element method coupled with a boundary integral non reflecting condition for 2D exterior Helmholtz problems. Zbl 07308041
Desiderio, Luca; Falletta, Silvia; Scuderi, Letizia
2021
DuMu$$^{\text x} 3$$ – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling. Zbl 1456.76079
Koch, Timo; Gläser, Dennis; Weishaupt, Kilian; Ackermann, Sina; Beck, Martin; Becker, Beatrix; Burbulla, Samuel; Class, Holger; Coltman, Edward; Emmert, Simon; Fetzer, Thomas; Grüninger, Christoph; Heck, Katharina; Hommel, Johannes; Kurz, Theresa; Lipp, Melanie; Mohammadi, Farid; Scherrer, Samuel; Schneider, Martin; Seitz, Gabriele; Stadler, Leopold; Utz, Martin; Weinhardt, Felix; Flemisch, Bernd
2021
A boundary collocation method for anomalous heat conduction analysis in functionally graded materials. Zbl 07336172
Fu, Zhuo-Jia; Yang, Li-Wen; Xi, Qiang; Liu, Chein-Shan
2021
Analysis of the L1 scheme for fractional wave equations with nonsmooth data. Zbl 07336193
Li, Binjie; Wang, Tao; Xie, Xiaoping
2021
A partitioned scheme with multiple-time-step technique for the nonstationary dual-porosity-Stokes problem. Zbl 07351725
Wang, Yongshuai; Zheng, Haibiao
2021
Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations. Zbl 07351738
Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Xi-Le; Zhao, Yong-Liang
2021
An abstract analysis framework for monolithic discretisations of poroelasticity with application to hybrid high-order methods. Zbl 07351750
Botti, Lorenzo; Botti, Michele; Di Pietro, Daniele A.
2021
The double adaptivity paradigm. (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi). Zbl 07362354
Demkowicz, Leszek; Führer, Thomas; Heuer, Norbert; Tian, Xiaochuan
2021
Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes. Zbl 07362357
Jain, V.; Zhang, Y.; Palha, A.; Gerritsma, M.
2021
A machine-learning minimal-residual (ML-MRes) framework for goal-oriented finite element discretizations. Zbl 07362360
Brevis, Ignacio; Muga, Ignacio; van der Zee, Kristoffer G.
2021
The OSC solver for the fourth-order sub-diffusion equation with weakly singular solutions. Zbl 07308000
Yang, Xuehua; Zhang, Haixiang; Tang, Jie
2021
Unconditionally energy stable second-order numerical schemes for the functionalized Cahn-Hilliard gradient flow equation based on the SAV approach. Zbl 07308026
Zhang, Chenhui; Ouyang, Jie
2021
Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds. Zbl 07308039
Gatica, Gabriel N.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo; Sobral, Yuri D.
2021
A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem. Zbl 07419184
Qiao, Leijie; Qiu, Wenlin; Xu, Da
2021
T-IFISS: a toolbox for adaptive FEM computation. Zbl 07288719
Bespalov, Alex; Rocchi, Leonardo; Silvester, David
2021
Götschel, Sebastian; Schiela, Anton; Weiser, Martin
2021
A moving-domain CFD solver in FEniCS with applications to tidal turbine simulations in turbulent flows. Zbl 1460.76564
Zhu, Qiming; Yan, Jinhui
2021
Open-source immersogeometric analysis of fluid-structure interaction using FEniCS and tIGAr. Zbl 1455.74088
Kamensky, David
2021
Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor. Zbl 07325132
Le, Van Chien; Slodička, Marián; Van Bockstal, Karel
2021
A meshless radial basis function based method for modeling dual-phase-lag heat transfer in irregular domains. Zbl 07327223
Lin, Ji; Yu, Hao; Reutskiy, Sergiy; Wang, Yuan
2021
Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions. Zbl 07336177
Meyer, Marcela Molina; Prieto Medina, Frank Richard
2021
Finite element analysis of a Keller-Segel model with additional cross-diffusion and logistic source. I: Space convergence. Zbl 07336180
Hashim, Mohammed H.; Harfash, Akil J.
2021
A novel local and parallel finite element method for the mixed Navier-Stokes-Darcy problem. Zbl 07336200
Wang, Xinhui; Du, Guangzhi; Zuo, Liyun
2021
Insight into the dynamics of fluid conveying tiny particles over a rotating surface subject to Cattaneo-Christov heat transfer, Coriolis force, and Arrhenius activation energy. Zbl 07351716
Ali, Bagh; Nie, Yufeng; Hussain, Sajjad; Habib, Danial; Abdal, Sohaib
2021
An $$L^p$$-DPG method for the convection-diffusion problem. Zbl 07362359
Li, Jiaqi; Demkowicz, Leszek
2021
Time-stepping DPG formulations for the heat equation. Zbl 07362363
Roberts, Nathan V.; Henneking, Stefan
2021
Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model. Zbl 07362374
Li, Huanrong; Wang, Dongmei; Song, Zhengyuan; Zhang, Fuchen
2021
Dirac assisted tree method for 1D heterogeneous Helmholtz equations with arbitrary variable wave numbers. Zbl 07384075
Han, Bin; Michelle, Michelle; Wong, Yau Shu
2021
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media. Zbl 07384081
Bonaldi, Francesco; Brenner, Konstantin; Droniou, Jérôme; Masson, Roland
2021
Solving Poisson equation with Dirichlet conditions through multinode Shepard operators. Zbl 07384093
Dell&rsquo;Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Siar, Najoua
2021
Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries. Zbl 07308032
Yue, Xingxing; Wang, Fajie; Li, Po-Wei; Fan, Chia-Ming
2021
Efficient monolithic projection-based method for chemotaxis-driven bioconvection problems. Zbl 07308035
Pan, Xiaomin; Chun, Soomin; Choi, Jung-Il
2021
Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media. Zbl 07308036
Vasilyeva, Maria; Tyrylgin, Aleksey
2021
An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation. Zbl 07419191
Yang, Xuehua; Qiu, Wenlin; Zhang, Haixiang; Tang, Liang
2021
Semi-analytic integration for a parallel space-time boundary element method modelling the heat equation. Zbl 07447579
Zapletal, Jan; Watschinger, Raphael; Of, Günther; Merta, Michal
2021
FESTUNG 1.0: overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods. Zbl 1460.76635
Reuter, Balthasar; Hajduk, Hennes; Rupp, Andreas; Frank, Florian; Aizinger, Vadym; Knabner, Peter
2021
waLBerla: a block-structured high-performance framework for multiphysics simulations. Zbl 07288725
Bauer, Martin; Eibl, Sebastian; Godenschwager, Christian; Kohl, Nils; Kuron, Michael; Rettinger, Christoph; Schornbaum, Florian; Schwarzmeier, Christoph; Thönnes, Dominik; Köstler, Harald; Rüde, Ulrich
2021
FEM based robust design optimization with Agros and Ārtap. Zbl 07288734
Karban, Pavel; Pánek, David; Orosz, Tamás; Petrášová, Iveta; Doležel, Ivo
2021
Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models. Zbl 07411539
Chai, Li; Liu, Yang; Li, Hong
2021
A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems. Zbl 07411560
Liu, Ying; Nie, Yufeng
2021
Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions. Zbl 07325121
Wang, Quanxiang; Xie, Jianqiang; Zhang, Zhiyue; Wang, Liqun
2021
Non-intrusive reduced-order modeling for uncertainty quantification of space-time-dependent parameterized problems. Zbl 07325134
Sun, Xiang; Choi, Jung-Il
2021
A fast multipole boundary element method based on higher order elements for analyzing 2-D potential problems. Zbl 07325135
Hu, Bin; Hu, Zongjun; Li, Cong; Niu, Zhongrong; Li, Xiaobao
2021
Analysis of a fully discrete approximation for the classical Keller-Segel model: lower and a priori bounds. Zbl 07327228
Gutiérrez-Santacreu, Juan Vicente; Rodríguez-Galván, José Rafael
2021
Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. Zbl 07336174
Liu, Yan-Cheng; Fan, Chia-Ming; Yeih, Weichung; Ku, Cheng-Yu; Chu, Chiung-Lin
2021
Convergence and positivity of finite element methods for a haptotaxis model of tumoral invasion. Zbl 07336178
Niño-Celis, Viviana; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J.
2021
Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems. Zbl 07336182
Lee, David
2021
Alternating stationary iterative methods based on double splittings. Zbl 07336184
Nandi, Ashish Kumar; Shekhar, Vaibhav; Mishra, Nachiketa; Mishra, Debasisha
2021
A leap-frog finite element method for wave propagation of Maxwell-Schrödinger equations with nonlocal effect in metamaterials. Zbl 07336195
Yao, C. H.; Wang, Z. Y.; Zhao, Y. M.
2021
Numerical pricing based on fractional Black-Scholes equation with time-dependent parameters under the CEV model: double barrier options. Zbl 07336203
Rezaei, M.; Yazdanian, A. R.; Ashrafi, A.; Mahmoudi, S. M.
2021
Turbulent channel flow simulations using the lattice Boltzmann method with near-wall modeling on a non-body-fitted Cartesian grid. Zbl 07351707
Maeyama, Hirotaka; Imamura, Taro; Osaka, Jun; Kurimoto, Naoki
2021
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. Zbl 07351722
Bartels, Sören
2021
Numerical analysis of finite-difference time-domain method for 2D/3D Maxwell’s equations in a Cole-Cole dispersive medium. Zbl 07351723
Bai, Xixian; Wang, Shuang; Rui, Hongxing
2021
A robust DPG method for large domains. Zbl 07351729
Führer, Thomas; Heuer, Norbert
2021
A posteriori error estimates in $$W^{1,p}\times L^p$$ spaces for the Stokes system with Dirac measures. Zbl 07351732
Fuica, Francisco; Lepe, Felipe; Otárola, Enrique; Quero, Daniel
2021
A variational framework for the strain-smoothed element method. Zbl 07351734
Lee, Chaemin; Park, Jongho
2021
Flow and heat transfer of viscoelastic fluid with a novel space distributed-order constitution relationship. Zbl 07351735
Yang, Weidong; Chen, Xuehui; Zhang, Xinru; Zheng, Liancun; Liu, Fawang
2021
Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow. Zbl 07351744
Bause, Markus; Bruchhäuser, Marius Paul; Köcher, Uwe
2021
Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. Zbl 07351753
Barnafi, Nicolás; Zunino, Paolo; Dedè, Luca; Quarteroni, Alfio
2021
Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. Zbl 07351763
Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa
2021
A least-squares formulation of the moving discontinuous Galerkin finite element method with interface condition enforcement. Zbl 07362358
Kercher, Andrew D.; Corrigan, Andrew
2021
HJB and Fokker-Planck equations for river environmental management based on stochastic impulse control with discrete and random observation. Zbl 07362379
Yoshioka, Hidekazu; Tsujimura, Motoh; Hamagami, Kunihiko; Yaegashi, Yuta; Yoshioka, Yumi
2021
Fully discrete finite element approximation for a family of degenerate parabolic mixed equations. Zbl 07362380
Acevedo, Ramiro; Gómez, Christian; López-Rodríguez, Bibiana
2021
The polygonal scaled boundary thin plate element based on the discrete Kirchhoff theory. Zbl 07384062
Li, Chong-Jun; Zhang, Ying; Jia, Yan-Mei; Chen, Juan
2021
Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations. Zbl 07384080
Zhu, Chen; Zhang, Bingyin; Fu, Hongfei; Liu, Jun
2021
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