A flexible heating mat is provided. The mat comprises a plurality of sections, connected to each other by arch ribs. The arch ribs form a flexible, preferably raised, ceiling and a closed space above the precipitation-covered surface. Each section comprises a tube, capable of conducting a melting substance therethrough and dissipating it through at least one jet for melting of ice and/or drying of moisture. In other embodiments, the mat comprises at least one snow-mashing member. The mat may further comprise a pump for pumping out the melt and/or recycling the melting medium. Other embodiments are provided, and each of the embodiments described herein can be used alone or in combination with one another. The method of using the mat is also described and claimed.