@article{petrovgalerkinvariationalphysicsinformed, title = {Petrov-Galerkin Variational Physics-Informed Neural Network Framework for Two-Dimensional Singularly Perturbed Problems}, author = {Vijay Kumar and Gautam Singh}, year = {2026}, eprint = {2606.16510}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2606.16510}, }