Found 159 Documents (Results 1–100)
Projection-type method with line-search process for solving variational inequalities. (English) Zbl 07860037
A new modified extragradient method with line-search process for solving pseudomonotone variational inequality in Hilbert spaces. (English) Zbl 07788055
A modified generalized version of projected reflected gradient method in Hilbert spaces. (English) Zbl 1542.65070
A generalized proximal point algorithm with new step size update for solving monotone variational inequalities in real Hilbert spaces. (English) Zbl 07756738
A strongly convergent viscosity-type inertial algorithm with self adaptive stepsize for solving split variational inclusion problems in Hilbert spaces. (English) Zbl 07797545
An hybrid finite element method for a quasi-variational inequality modeling a semiconductor. (English) Zbl 1531.65248
Adaptive extragradient methods for solving variational inequalities in real Hilbert spaces. (English) Zbl 07715008
A unified approach to shape and topological sensitivity analysis of discretized optimal design problems. (English) Zbl 1517.49026
Asymptotic analysis of linearly elastic flexural shells subjected to an obstacle in absence of friction. (English) Zbl 1519.35167
A self-adaptive extragradient method for fixed-point and pseudomonotone equilibrium problems in Hadamard spaces. (English) Zbl 1541.65050
Symmetric constellations of satellites moving around a central body of large mass. (English) Zbl 1532.70017
Reviewer: Yuwei Ou (Jinan)
A generalized objective function based on weight coefficient for topology-finding of tensegrity structures. (English) Zbl 1510.74105
A second-order unconditionally energy stable scheme for phase-field based multimaterial topology optimization. (English) Zbl 1539.74341
The penalty method for generalized mixed variational-hemivariational inequality problems. (English) Zbl 1538.49008
Topology design optimization of nanophotonic devices for energy concentration. (English) Zbl 1505.49031
Thermodynamic topology optimization of layered anisotropic materials. (English) Zbl 1512.74084
Aldakheel, Fadi (ed.) et al., Current trends and open problems in computational mechanics. Cham: Springer. 217-238 (2022).
Two-scale topology optimization with heterogeneous mesostructures based on a local volume constraint. (English) Zbl 1524.49076
Iterative algorithms for monotone variational inequality and fixed point problems on Hadamard manifolds. (English) Zbl 1517.47101
A reaction diffusion-based B-spline level set (RDBLS) method for structural topology optimization. (English) Zbl 1507.74334
An extragradient method for equilibrium problems and fixed point problems of an asymptotically nonexpansive mapping in \(\mathrm{CAT}(0)\) spaces. (English) Zbl 1503.47101
Existence, nonexistence and multiplicity of positive solutions for singular quasilinear problems. (English) Zbl 1499.35011
Shrinking projection method for demimetric mappings with variational inequality problems in an Hadamard space. (English) Zbl 1489.65097
Topological imaging methods for the iterative detection of multiple impedance obstacles. (English) Zbl 07510346
Multi-objective topology optimization incorporating an adaptive weighed-sum method and a configuration-based clustering scheme. (English) Zbl 1502.74086
Data-driven topology optimization of spinodoid metamaterials with seamlessly tunable anisotropy. (English) Zbl 1506.74316
A parametrized level set based topology optimization method for analysing thermal problems. (English) Zbl 1524.74388
Modified Tseng’s extragradient methods for variational inequality on Hadamard manifolds. (English) Zbl 07410391
An extragradient method for vector equilibrium problems on Hadamard manifolds. (English) Zbl 1518.47104
Strong convergence of the modified inertial extragradient method with line-search process for solving variational inequality problems in Hilbert spaces. (English) Zbl 07389347
Shape derivatives for an augmented Lagrangian formulation of elastic contact problems. (English) Zbl 1468.35067
A globally convergent method to accelerate topology optimization using on-the-fly model reduction. (English) Zbl 1506.74309
Reconstruction of contact regions in semiconductor transistors using Dirichlet-Neumann cost functional approach. (English) Zbl 1460.49026
Multi-valued variational inequalities and inclusions. (English) Zbl 1462.49001
Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-65164-0/hbk; 978-3-030-65167-1/pbk; 978-3-030-65165-7/ebook). xvii, 584 p. (2021).
Reviewer: Dian K. Palagachev (Bari)
MSC:
49-02
49J40
49J20
46E35
35J87
35J88
35K86
35K87
35R05
35R70
47J20
47J22
47J35
28Bxx
35B51
35J20
35J66
35K61
35K92
35Q74
47H04
47H05
47H07
49J53
A two-grid method for level-set based topology optimization with GPU-acceleration. (English) Zbl 1457.74164
Semilinear elliptic equations. Classical and modern theories. (English) Zbl 1472.35006
De Gruyter Series in Nonlinear Analysis and Applications 35. Berlin: De Gruyter (ISBN 978-3-11-055535-6/hbk; 978-3-11-055628-5/ebook). xvii, 470 p. (2020).
Reviewer: Petr Tomiczek (Plzeň)
Iterative reanalysis approximation-assisted moving morphable component-based topology optimization method. (English) Zbl 1543.74080
New two types of semi-implicit viscosity iterations for approximating the fixed points of nonexpansive operators associated with contraction operators and applications. (English) Zbl 1487.47129
Picard type iterative method with applications to minimization problems and split feasibility problems. (English) Zbl 07347531
The viscosity approximation method for multivalued \(G\)-nonexpansive mappings in Hadamard spaces endowed with graphs. (English) Zbl 1478.65054
Shape derivatives for the penalty formulation of elastic contact problems with Tresca friction. (English) Zbl 1454.35183
Structural displacement requirement in a topology optimization algorithm based on isogeometric entities. (English) Zbl 1432.74189
An introduction to the topological derivative method. (English) Zbl 1444.49001
SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-030-36914-9/pbk; 978-3-030-36915-6/ebook). x, 114 p. (2020).
Reviewer: Andrew Bucki (Edmond)
Variational construction of positive entropy invariant measures of Lagrangian systems and Arnold diffusion. (English) Zbl 1442.37077
Variational methods in nonlinear analysis. With applications in optimization and partial differential equations. (English) Zbl 1443.49001
De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-064736-5/pbk; 978-3-11-064738-9/ebook). xxv, 474 p. (2020).
Reviewer: Valerii V. Obukhovskij (Voronezh)
MSC:
49-02
47-02
35J20
35J25
35J50
35J57
46A55
47H04
47H05
47H09
47H10
47J20
47J25
47J30
49J35
49J40
49J50
49J52
49J53
49K20
49K35
49N15
49N60
58C30
58E05
58E30
58E35
58J05
58J32
90C25
A nonstandard higher-order variational model for speckle noise removal and thin-structure detection. (English) Zbl 1449.65229
Shape and topology optimization considering anisotropic features induced by additive manufacturing processes. (English) Zbl 1440.74289
Topology optimization of exterior acoustic-structure interaction systems using the coupled FEM-BEM method. (English) Zbl 1425.74384
Multiphase topology optimization with a single variable using the phase-field design method. (English) Zbl 1425.74379
Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces. (English) Zbl 1436.47019
Reviewer: Hengyou Lan (Zigong)
Applications of the topological derivative method. (English) Zbl 1460.74001
Studies in Systems, Decision and Control 188. Cham: Springer (ISBN 978-3-030-05431-1/hbk; 978-3-030-05432-8/ebook). xiv, 212 p. (2019).
Reviewer: Teodor Atanacković (Novi Sad)
An efficient topology optimization method for structures with uniform stress. (English) Zbl 1404.74139
A modified subgradient extragradient method for solving the variational inequality problem. (English) Zbl 06967417
On the arbitrarily long-term stability of conservative methods. (English) Zbl 1405.65085
Reviewer: Antonio Linero Bas (Murcia)
A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis. (English) Zbl 1374.35187
On the virtual element method for topology optimization on polygonal meshes: a numerical study. (English) Zbl 1391.74205
High-order topological expansions for Helmholtz problems in 2D. (English) Zbl 1382.49043
Bergounioux, Maïtine (ed.) et al., Topological optimization and optimal transport in the applied sciences. Berlin: De Gruyter (ISBN 978-3-11-043926-7/hbk; 978-3-11-043041-7/ebook). Radon Series on Computational and Applied Mathematics 17, 64-122 (2017).
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Fast topological-shape optimization with boundary elements in two dimensions. (English) Zbl 1367.35170
Algorithm of rebuilding a boundary of domain during creation of an optimal shape. (English) Zbl 1462.49065
Viscosity approximation methods for hierarchical optimization problems of multivalued nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces. (English) Zbl 1509.47097
Viscosity approximation methods for strongly continuous semigroups of asymptotically nonexpansive mappings in CAT(0) spaces. (English) Zbl 1357.47082
Periodic solutions of the planar \(N\)-center problem with topological constraints. (English) Zbl 1404.70032
Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms. (English) Zbl 1363.35116
Topological methods for some classes of differential variational inequalities. (English) Zbl 1357.34044
Reviewer: Krishnan Balachandran (Coimbatore)
A level set method for topological shape optimization of 3D structures with extrusion constraints. (English) Zbl 1423.74753
Topology optimisation for heat conduction problems in 2D with heat transfer boundary condition and heat flux objective function defined on morphing boundaries using BEM. (English) Zbl 1341.65025
Cheng, A. H-D. (ed.) et al., Boundary elements and other mesh reduction methods XXXVIII. Selected papers based on the presentations at the 38th international conference (BEM/MRM), New Forest, UK, September 21–23, 2015. Southampton: WIT Press (ISBN 978-1-78466-027-7/hbk; 978-1-78466-028-4/ebook). WIT Transactions on Modelling and Simulation 61, 101-111 (2015).
Limit cycles near a piecewise smooth generalized homoclinic loop with a nonelementary singular point. (English) Zbl 1330.34051
Iterative methods for finding the minimum-norm solution of the standard monotone variational inequality problems with applications in Hilbert spaces. (English) Zbl 1312.65091
Stress constrained shape and topology optimization with fixed mesh: a B-spline finite cell method combined with level set function. (English) Zbl 1423.74741
Multi-material phase field approach to structural topology optimization. (English) Zbl 1327.49068
Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 231-246 (2014).
Nonlocal problems for differential inclusions in Hilbert spaces. (English) Zbl 1312.34097
Reviewer: Francesca Papalini (Ancona)
Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior. (English) Zbl 1288.35456
Viscosity approximation methods for nonexpansive semigroups in CAT(0) spaces. (English) Zbl 1318.47099
Viscosity approximation methods for hierarchical optimization problems in \(\mathrm{CAT}(0)\) spaces. (English) Zbl 1496.47098
Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces. (English) Zbl 1292.47056
The extended adjoint method. (English) Zbl 1271.65102
Reviewer: Bülent Karasözen (Ankara)
Nonequilibrium many-body theory of quantum systems. A modern introduction. (English) Zbl 1276.82002
Cambridge: Cambridge University Press (ISBN 978-0-521-76617-3/hbk; 978-1-107-35207-0/ebook). xvii, 600 p. (2013).
Reviewer: Claudia-Veronika Meister (Darmstadt)
The Melnikov method and subharmonic orbits in a piecewise-smooth system. (English) Zbl 1262.37028
Reviewer: Zdzisław Dzedzej (Gdansk)
Iterative methods for fixed point problems in Hilbert spaces. (English) Zbl 1256.47043
Lecture Notes in Mathematics 2057. Berlin: Springer (ISBN 978-3-642-30900-7/pbk; 978-3-642-30901-4/ebook). xvi, 298 p. (2012).
Reviewer: Vasile Berinde (Baia Mare)
Existence results for an elliptic equation of Kirchhoff-type with changing sign data. (English) Zbl 1248.35065
A level set based shape and topology optimization method for maximizing the simple or repeated first eigenvalue of structure vibration. (English) Zbl 1274.74416
Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications. (English) Zbl 1234.49009
From shape variation to topological changes in constrained minimization: a velocity method-based concept. (English) Zbl 1245.49058
Superlinear convergence of an infeasible predictor-corrector path-following interior point algorithm for a semidefinite linear complementarity problem using the Helmberg-Kojima-Monteiro direction. (English) Zbl 1228.90129
Reviewer: Miguel Angel Goberna (Alicante)
A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes. (English) Zbl 1197.65133
Truly nonlinear oscillations. Harmonic balance, parameter expansions, iteration, and averaging methods. (English) Zbl 1221.34001
Hackensack, NJ: World Scientific (ISBN 978-981-4291-65-1/hbk; 978-981-4291-66-8/ebook). xxi, 238 p. (2010).
Reviewer: Svitlana P. Rogovchenko (Umeå)
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