Mathematical modelling and finite element simulation of smart tubular composites

'Les fleurs du mal' II: a dynamically adaptive wavelet method of arbitrary lines for nonlinear evolutionary problems-capturing steep moving fronts
Ren, X. and Xanthis, L. 2006. 'Les fleurs du mal' II: a dynamically adaptive wavelet method of arbitrary lines for nonlinear evolutionary problems-capturing steep moving fronts. Computer Methods in Applied Mechanics and Engineering. 195 (37-40), pp. 4962-4970. https://doi.org/10.1016/j.cma.2005.10.022

A novel adaptive wavelet-based approach for a class of singularly perturbed partial differential equations
Bacopoulos, A., Konstantinou, V., Ren, X. and Xanthis, L. 2005. A novel adaptive wavelet-based approach for a class of singularly perturbed partial differential equations. HERMIS: the international journal of computer mathermatics and its applications. 5, pp. 1-6.

Asymptotic analysis of piezoelectric shallow shells
Sabu, N. and Xanthis, L. 2005. Asymptotic analysis of piezoelectric shallow shells. HERMIS: the International Journal of Computer Mathematics and its Applications. 5, pp. 91-108.

An effective wavelet method of arbitrary lines for problems with boundary and interior layers
Ren, X., Xanthis, L. and Konstantinou, V. 2004. An effective wavelet method of arbitrary lines for problems with boundary and interior layers. Proceedings of the International Conference on Boundary and Interior Layers (BAIL 2004). Toulouse, France 5-9 Jul 2004

'Les fleurs du mal': an adaptive wavelet method of arbitrary lines I: convection-diffusion problems
Ren, X. and Xanthis, L. 2004. 'Les fleurs du mal': an adaptive wavelet method of arbitrary lines I: convection-diffusion problems. Comptes Rendus Mecanique. 332 (1), pp. 23-29. https://doi.org/10.1016/j.crme.2003.10.004

'Les fleurs du mal': an adaptive wavelet-based method of arbitrary lines for problems with thin layers and moving fronts
Ren, X. and Xanthis, L. 2003. 'Les fleurs du mal': an adaptive wavelet-based method of arbitrary lines for problems with thin layers and moving fronts. HERMIS: the International Journal of Computer Mathematics and its Applications. 4.

On fast domain decomposition solving procedures for hp-discretizations of 3-d elliptic problems
Korneev, V.G., Langer, U. and Xanthis, L. 2003. On fast domain decomposition solving procedures for hp-discretizations of 3-d elliptic problems. Computational Methods in Applied Mathematics. 3 (4), pp. 536-559.

On the opodeictics of successive eigenvalue relaxation for large-scale eigenvalue problems: proofs of convergence estimates
Xanthis, L. and Ovtchinnikov, E. 2002. On the opodeictics of successive eigenvalue relaxation for large-scale eigenvalue problems: proofs of convergence estimates. HERMIS: the International Journal of Computer Mathematics and its Applications. 3, pp. 65-90.

Solving finite element hp-discretizations of eliptic problems by fast domain decomposition algorithms
Xanthis, L. 2002. Solving finite element hp-discretizations of eliptic problems by fast domain decomposition algorithms. Trudy SpbGPU Prikladnaya Matematika (Transactions of St Petersburg State Polytechnic University, Applied Mathemetics). 485, pp. 126-153.

Symmetric spectral problems and asymptotically optimal algorithms: towards a harmony between the continuous and the discrete
D'Yakonov, E.G. and Xanthis, L. 2002. Symmetric spectral problems and asymptotically optimal algorithms: towards a harmony between the continuous and the discrete. HERMIS: the International Journal of Computer Mathematics and its Applications. 3, pp. 91-102.

Successive eigenvalue relaxation: a new method for the generalized eigenvalue problem and convergence estimates
Ovtchinnikov, E. and Xanthis, L. 2001. Successive eigenvalue relaxation: a new method for the generalized eigenvalue problem and convergence estimates. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 457 (2006), pp. 441-451. https://doi.org/10.1098/rspa.2000.0674